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Finding the Fourth Proportional to 8,234.40, 12,348 and 2,390.88

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Solution

The fourth proportional to 8,234.40, 12,348 and 2,390.88 is: 3,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.40 : 12,348 = 2,390.88 : x
  2. Step 2: Convert to fraction form
    8,234.40/12,348 = 2,390.88/x
  3. Step 3: Cross multiply
    8,234.40x = 12,348 × 2,390.88
  4. Step 4: Simplify right side
    8,234.40x = 29,522,586.24
  5. Step 5: Solve for x
    x = 29,522,586.24/8,234.40
  6. Step 6: Final answer
    x = 3,585.27

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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.