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Finding the Fourth Proportional to 16,488, 22,752.96 and 9,681.92

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Solution

The fourth proportional to 16,488, 22,752.96 and 9,681.92 is: 13,360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,488 : 22,752.96 = 9,681.92 : x
  2. Step 2: Convert to fraction form
    16,488/22,752.96 = 9,681.92/x
  3. Step 3: Cross multiply
    16,488x = 22,752.96 × 9,681.92
  4. Step 4: Simplify right side
    16,488x = 220,292,338.48
  5. Step 5: Solve for x
    x = 220,292,338.48/16,488
  6. Step 6: Final answer
    x = 13,360.77

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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.