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Finding the Fourth Proportional to 16,494, 22,761.80 and 9,870

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Solution

The fourth proportional to 16,494, 22,761.80 and 9,870 is: 13,620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494 : 22,761.80 = 9,870 : x
  2. Step 2: Convert to fraction form
    16,494/22,761.80 = 9,870/x
  3. Step 3: Cross multiply
    16,494x = 22,761.80 × 9,870
  4. Step 4: Simplify right side
    16,494x = 224,658,966
  5. Step 5: Solve for x
    x = 224,658,966/16,494
  6. Step 6: Final answer
    x = 13,620.65

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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.