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Finding the Fourth Proportional to 8,377.85, 12,569.52 and 4,215.87

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Solution

The fourth proportional to 8,377.85, 12,569.52 and 4,215.87 is: 6,325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.85 : 12,569.52 = 4,215.87 : x
  2. Step 2: Convert to fraction form
    8,377.85/12,569.52 = 4,215.87/x
  3. Step 3: Cross multiply
    8,377.85x = 12,569.52 × 4,215.87
  4. Step 4: Simplify right side
    8,377.85x = 52,991,462.28
  5. Step 5: Solve for x
    x = 52,991,462.28/8,377.85
  6. Step 6: Final answer
    x = 6,325.19

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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.