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Finding the Fourth Proportional to 16,561, 22,854.54 and 9,109

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Solution

The fourth proportional to 16,561, 22,854.54 and 9,109 is: 12,570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561 : 22,854.54 = 9,109 : x
  2. Step 2: Convert to fraction form
    16,561/22,854.54 = 9,109/x
  3. Step 3: Cross multiply
    16,561x = 22,854.54 × 9,109
  4. Step 4: Simplify right side
    16,561x = 208,182,004.86
  5. Step 5: Solve for x
    x = 208,182,004.86/16,561
  6. Step 6: Final answer
    x = 12,570.62

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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.