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Finding the Fourth Proportional to 12,598.48, 17,376.76 and 7,821.12

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Solution

The fourth proportional to 12,598.48, 17,376.76 and 7,821.12 is: 10,787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.48 : 17,376.76 = 7,821.12 : x
  2. Step 2: Convert to fraction form
    12,598.48/17,376.76 = 7,821.12/x
  3. Step 3: Cross multiply
    12,598.48x = 17,376.76 × 7,821.12
  4. Step 4: Simplify right side
    12,598.48x = 135,905,725.17
  5. Step 5: Solve for x
    x = 135,905,725.17/12,598.48
  6. Step 6: Final answer
    x = 10,787.47

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.