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Finding the Fourth Proportional to 21,516.64, 29,672.64 and 16,209.52

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Solution

The fourth proportional to 21,516.64, 29,672.64 and 16,209.52 is: 22,353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,516.64 : 29,672.64 = 16,209.52 : x
  2. Step 2: Convert to fraction form
    21,516.64/29,672.64 = 16,209.52/x
  3. Step 3: Cross multiply
    21,516.64x = 29,672.64 × 16,209.52
  4. Step 4: Simplify right side
    21,516.64x = 480,979,251.53
  5. Step 5: Solve for x
    x = 480,979,251.53/21,516.64
  6. Step 6: Final answer
    x = 22,353.83

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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.