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Finding the Fourth Proportional to 22,770, 34,131.54 and 8,726.76

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Solution

The fourth proportional to 22,770, 34,131.54 and 8,726.76 is: 13,081.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770 : 34,131.54 = 8,726.76 : x
  2. Step 2: Convert to fraction form
    22,770/34,131.54 = 8,726.76/x
  3. Step 3: Cross multiply
    22,770x = 34,131.54 × 8,726.76
  4. Step 4: Simplify right side
    22,770x = 297,857,758.01
  5. Step 5: Solve for x
    x = 297,857,758.01/22,770
  6. Step 6: Final answer
    x = 13,081.15

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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.