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Finding the Fourth Proportional to 8,513.40, 12,747.02 and 4,400.76

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Solution

The fourth proportional to 8,513.40, 12,747.02 and 4,400.76 is: 6,589.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.40 : 12,747.02 = 4,400.76 : x
  2. Step 2: Convert to fraction form
    8,513.40/12,747.02 = 4,400.76/x
  3. Step 3: Cross multiply
    8,513.40x = 12,747.02 × 4,400.76
  4. Step 4: Simplify right side
    8,513.40x = 56,096,575.74
  5. Step 5: Solve for x
    x = 56,096,575.74/8,513.40
  6. Step 6: Final answer
    x = 6,589.21

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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.