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Finding the Fourth Proportional to 12,322.75, 17,004.98 and 7,787.85

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Solution

The fourth proportional to 12,322.75, 17,004.98 and 7,787.85 is: 10,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.75 : 17,004.98 = 7,787.85 : x
  2. Step 2: Convert to fraction form
    12,322.75/17,004.98 = 7,787.85/x
  3. Step 3: Cross multiply
    12,322.75x = 17,004.98 × 7,787.85
  4. Step 4: Simplify right side
    12,322.75x = 132,432,233.49
  5. Step 5: Solve for x
    x = 132,432,233.49/12,322.75
  6. Step 6: Final answer
    x = 10,746.97

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Half scale
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Double scale
Find fourth proportional to 12,323.75, 17,006.36 and 7,788.85
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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.