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Finding the Fourth Proportional to 8,764.57, 13,138.44 and 4,377.88

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Solution

The fourth proportional to 8,764.57, 13,138.44 and 4,377.88 is: 6,562.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.57 : 13,138.44 = 4,377.88 : x
  2. Step 2: Convert to fraction form
    8,764.57/13,138.44 = 4,377.88/x
  3. Step 3: Cross multiply
    8,764.57x = 13,138.44 × 4,377.88
  4. Step 4: Simplify right side
    8,764.57x = 57,518,513.71
  5. Step 5: Solve for x
    x = 57,518,513.71/8,764.57
  6. Step 6: Final answer
    x = 6,562.62

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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.