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Finding the Fourth Proportional to 8,442.53, 11,650.52 and 4,665.61

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Solution

The fourth proportional to 8,442.53, 11,650.52 and 4,665.61 is: 6,438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.53 : 11,650.52 = 4,665.61 : x
  2. Step 2: Convert to fraction form
    8,442.53/11,650.52 = 4,665.61/x
  3. Step 3: Cross multiply
    8,442.53x = 11,650.52 × 4,665.61
  4. Step 4: Simplify right side
    8,442.53x = 54,356,749.83
  5. Step 5: Solve for x
    x = 54,356,749.83/8,442.53
  6. Step 6: Final answer
    x = 6,438.44

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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.