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Finding the Fourth Proportional to 12,448.52, 17,178.74 and 6,783.31

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Solution

The fourth proportional to 12,448.52, 17,178.74 and 6,783.31 is: 9,360.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448.52 : 17,178.74 = 6,783.31 : x
  2. Step 2: Convert to fraction form
    12,448.52/17,178.74 = 6,783.31/x
  3. Step 3: Cross multiply
    12,448.52x = 17,178.74 × 6,783.31
  4. Step 4: Simplify right side
    12,448.52x = 116,528,599.02
  5. Step 5: Solve for x
    x = 116,528,599.02/12,448.52
  6. Step 6: Final answer
    x = 9,360.84

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Double scale
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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.