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Finding the Fourth Proportional to 20,373, 30,605.28 and 14,463.24

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Solution

The fourth proportional to 20,373, 30,605.28 and 14,463.24 is: 21,727.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,373 : 30,605.28 = 14,463.24 : x
  2. Step 2: Convert to fraction form
    20,373/30,605.28 = 14,463.24/x
  3. Step 3: Cross multiply
    20,373x = 30,605.28 × 14,463.24
  4. Step 4: Simplify right side
    20,373x = 442,651,509.91
  5. Step 5: Solve for x
    x = 442,651,509.91/20,373
  6. Step 6: Final answer
    x = 21,727.36

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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.