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Finding the Fourth Proportional to 9,124.86, 13,691 and 3,281.92

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Solution

The fourth proportional to 9,124.86, 13,691 and 3,281.92 is: 4,924.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.86 : 13,691 = 3,281.92 : x
  2. Step 2: Convert to fraction form
    9,124.86/13,691 = 3,281.92/x
  3. Step 3: Cross multiply
    9,124.86x = 13,691 × 3,281.92
  4. Step 4: Simplify right side
    9,124.86x = 44,932,766.72
  5. Step 5: Solve for x
    x = 44,932,766.72/9,124.86
  6. Step 6: Final answer
    x = 4,924.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.