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Finding the Fourth Proportional to 15,614.77, 21,542.32 and 9,948.50

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Solution

The fourth proportional to 15,614.77, 21,542.32 and 9,948.50 is: 13,725.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,614.77 : 21,542.32 = 9,948.50 : x
  2. Step 2: Convert to fraction form
    15,614.77/21,542.32 = 9,948.50/x
  3. Step 3: Cross multiply
    15,614.77x = 21,542.32 × 9,948.50
  4. Step 4: Simplify right side
    15,614.77x = 214,313,770.52
  5. Step 5: Solve for x
    x = 214,313,770.52/15,614.77
  6. Step 6: Final answer
    x = 13,725.07

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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.