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Finding the Fourth Proportional to 8,388.70, 12,575.84 and 4,687.90

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Solution

The fourth proportional to 8,388.70, 12,575.84 and 4,687.90 is: 7,027.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388.70 : 12,575.84 = 4,687.90 : x
  2. Step 2: Convert to fraction form
    8,388.70/12,575.84 = 4,687.90/x
  3. Step 3: Cross multiply
    8,388.70x = 12,575.84 × 4,687.90
  4. Step 4: Simplify right side
    8,388.70x = 58,954,217.46
  5. Step 5: Solve for x
    x = 58,954,217.46/8,388.70
  6. Step 6: Final answer
    x = 7,027.82

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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.