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Finding the Fourth Proportional to 11,761.46, 16,230.78 and 6,456.16

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Solution

The fourth proportional to 11,761.46, 16,230.78 and 6,456.16 is: 8,909.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.46 : 16,230.78 = 6,456.16 : x
  2. Step 2: Convert to fraction form
    11,761.46/16,230.78 = 6,456.16/x
  3. Step 3: Cross multiply
    11,761.46x = 16,230.78 × 6,456.16
  4. Step 4: Simplify right side
    11,761.46x = 104,788,532.89
  5. Step 5: Solve for x
    x = 104,788,532.89/11,761.46
  6. Step 6: Final answer
    x = 8,909.48

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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.