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Finding the Fourth Proportional to 21,957.52, 32,931.90 and 7,917.16

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Solution

The fourth proportional to 21,957.52, 32,931.90 and 7,917.16 is: 11,874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,957.52 : 32,931.90 = 7,917.16 : x
  2. Step 2: Convert to fraction form
    21,957.52/32,931.90 = 7,917.16/x
  3. Step 3: Cross multiply
    21,957.52x = 32,931.90 × 7,917.16
  4. Step 4: Simplify right side
    21,957.52x = 260,727,121.40
  5. Step 5: Solve for x
    x = 260,727,121.40/21,957.52
  6. Step 6: Final answer
    x = 11,874.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.