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Finding the Fourth Proportional to 8,354.85, 12,532.29 and 3,423.61

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Solution

The fourth proportional to 8,354.85, 12,532.29 and 3,423.61 is: 5,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.85 : 12,532.29 = 3,423.61 : x
  2. Step 2: Convert to fraction form
    8,354.85/12,532.29 = 3,423.61/x
  3. Step 3: Cross multiply
    8,354.85x = 12,532.29 × 3,423.61
  4. Step 4: Simplify right side
    8,354.85x = 42,905,610.71
  5. Step 5: Solve for x
    x = 42,905,610.71/8,354.85
  6. Step 6: Final answer
    x = 5,135.41

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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.