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Finding the Fourth Proportional to 8,374.78, 12,561.63 and 3,180.52

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Solution

The fourth proportional to 8,374.78, 12,561.63 and 3,180.52 is: 4,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.78 : 12,561.63 = 3,180.52 : x
  2. Step 2: Convert to fraction form
    8,374.78/12,561.63 = 3,180.52/x
  3. Step 3: Cross multiply
    8,374.78x = 12,561.63 × 3,180.52
  4. Step 4: Simplify right side
    8,374.78x = 39,952,515.45
  5. Step 5: Solve for x
    x = 39,952,515.45/8,374.78
  6. Step 6: Final answer
    x = 4,770.57

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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.