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Finding the Fourth Proportional to 20,957.25, 28,921.14 and 11,526.15

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Solution

The fourth proportional to 20,957.25, 28,921.14 and 11,526.15 is: 15,906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.25 : 28,921.14 = 11,526.15 : x
  2. Step 2: Convert to fraction form
    20,957.25/28,921.14 = 11,526.15/x
  3. Step 3: Cross multiply
    20,957.25x = 28,921.14 × 11,526.15
  4. Step 4: Simplify right side
    20,957.25x = 333,349,397.81
  5. Step 5: Solve for x
    x = 333,349,397.81/20,957.25
  6. Step 6: Final answer
    x = 15,906.16

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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.