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Finding the Fourth Proportional to 7,234.29, 9,985.15 and 4,092.30

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Solution

The fourth proportional to 7,234.29, 9,985.15 and 4,092.30 is: 5,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.29 : 9,985.15 = 4,092.30 : x
  2. Step 2: Convert to fraction form
    7,234.29/9,985.15 = 4,092.30/x
  3. Step 3: Cross multiply
    7,234.29x = 9,985.15 × 4,092.30
  4. Step 4: Simplify right side
    7,234.29x = 40,862,229.35
  5. Step 5: Solve for x
    x = 40,862,229.35/7,234.29
  6. Step 6: Final answer
    x = 5,648.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.