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Finding the Fourth Proportional to 19,791, 29,686.40 and 8,104.22

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Solution

The fourth proportional to 19,791, 29,686.40 and 8,104.22 is: 12,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,791 : 29,686.40 = 8,104.22 : x
  2. Step 2: Convert to fraction form
    19,791/29,686.40 = 8,104.22/x
  3. Step 3: Cross multiply
    19,791x = 29,686.40 × 8,104.22
  4. Step 4: Simplify right side
    19,791x = 240,585,116.61
  5. Step 5: Solve for x
    x = 240,585,116.61/19,791
  6. Step 6: Final answer
    x = 12,156.29

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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.