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Finding the Fourth Proportional to 19,761, 29,654.40 and 7,281.15

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Solution

The fourth proportional to 19,761, 29,654.40 and 7,281.15 is: 10,926.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,761 : 29,654.40 = 7,281.15 : x
  2. Step 2: Convert to fraction form
    19,761/29,654.40 = 7,281.15/x
  3. Step 3: Cross multiply
    19,761x = 29,654.40 × 7,281.15
  4. Step 4: Simplify right side
    19,761x = 215,918,134.56
  5. Step 5: Solve for x
    x = 215,918,134.56/19,761
  6. Step 6: Final answer
    x = 10,926.48

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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.