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Finding the Fourth Proportional to 8,407.92, 11,605.68 and 4,872

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Solution

The fourth proportional to 8,407.92, 11,605.68 and 4,872 is: 6,724.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.92 : 11,605.68 = 4,872 : x
  2. Step 2: Convert to fraction form
    8,407.92/11,605.68 = 4,872/x
  3. Step 3: Cross multiply
    8,407.92x = 11,605.68 × 4,872
  4. Step 4: Simplify right side
    8,407.92x = 56,542,872.96
  5. Step 5: Solve for x
    x = 56,542,872.96/8,407.92
  6. Step 6: Final answer
    x = 6,724.95

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Why These Related Problems?

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