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Finding the Fourth Proportional to 8,669.97, 13,058.96 and 8,061.66

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Solution

The fourth proportional to 8,669.97, 13,058.96 and 8,061.66 is: 12,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,669.97 : 13,058.96 = 8,061.66 : x
  2. Step 2: Convert to fraction form
    8,669.97/13,058.96 = 8,061.66/x
  3. Step 3: Cross multiply
    8,669.97x = 13,058.96 × 8,061.66
  4. Step 4: Simplify right side
    8,669.97x = 105,276,855.17
  5. Step 5: Solve for x
    x = 105,276,855.17/8,669.97
  6. Step 6: Final answer
    x = 12,142.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.