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Finding the Fourth Proportional to 16,347, 22,560.78 and 9,723

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Solution

The fourth proportional to 16,347, 22,560.78 and 9,723 is: 13,418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347 : 22,560.78 = 9,723 : x
  2. Step 2: Convert to fraction form
    16,347/22,560.78 = 9,723/x
  3. Step 3: Cross multiply
    16,347x = 22,560.78 × 9,723
  4. Step 4: Simplify right side
    16,347x = 219,358,463.94
  5. Step 5: Solve for x
    x = 219,358,463.94/16,347
  6. Step 6: Final answer
    x = 13,418.88

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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.