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Finding the Fourth Proportional to 9,230.82, 12,739.23 and 5,252.31

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Solution

The fourth proportional to 9,230.82, 12,739.23 and 5,252.31 is: 7,248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.82 : 12,739.23 = 5,252.31 : x
  2. Step 2: Convert to fraction form
    9,230.82/12,739.23 = 5,252.31/x
  3. Step 3: Cross multiply
    9,230.82x = 12,739.23 × 5,252.31
  4. Step 4: Simplify right side
    9,230.82x = 66,910,385.12
  5. Step 5: Solve for x
    x = 66,910,385.12/9,230.82
  6. Step 6: Final answer
    x = 7,248.59

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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.