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Finding the Fourth Proportional to 19,654.50, 29,472.50 and 7,165.74

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Solution

The fourth proportional to 19,654.50, 29,472.50 and 7,165.74 is: 10,745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,654.50 : 29,472.50 = 7,165.74 : x
  2. Step 2: Convert to fraction form
    19,654.50/29,472.50 = 7,165.74/x
  3. Step 3: Cross multiply
    19,654.50x = 29,472.50 × 7,165.74
  4. Step 4: Simplify right side
    19,654.50x = 211,192,272.15
  5. Step 5: Solve for x
    x = 211,192,272.15/19,654.50
  6. Step 6: Final answer
    x = 10,745.24

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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.