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Finding the Fourth Proportional to 21,165.53, 31,758.01 and 20,815.61

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Solution

The fourth proportional to 21,165.53, 31,758.01 and 20,815.61 is: 31,232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,165.53 : 31,758.01 = 20,815.61 : x
  2. Step 2: Convert to fraction form
    21,165.53/31,758.01 = 20,815.61/x
  3. Step 3: Cross multiply
    21,165.53x = 31,758.01 × 20,815.61
  4. Step 4: Simplify right side
    21,165.53x = 661,062,139.71
  5. Step 5: Solve for x
    x = 661,062,139.71/21,165.53
  6. Step 6: Final answer
    x = 31,232.97

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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.