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Finding the Fourth Proportional to 9,442.92, 13,029.72 and 5,251.20

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Solution

The fourth proportional to 9,442.92, 13,029.72 and 5,251.20 is: 7,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.92 : 13,029.72 = 5,251.20 : x
  2. Step 2: Convert to fraction form
    9,442.92/13,029.72 = 5,251.20/x
  3. Step 3: Cross multiply
    9,442.92x = 13,029.72 × 5,251.20
  4. Step 4: Simplify right side
    9,442.92x = 68,421,665.66
  5. Step 5: Solve for x
    x = 68,421,665.66/9,442.92
  6. Step 6: Final answer
    x = 7,245.82

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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.