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Finding the Fourth Proportional to 4,765.78, 7,148.13 and 3,374.74

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Solution

The fourth proportional to 4,765.78, 7,148.13 and 3,374.74 is: 5,061.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.78 : 7,148.13 = 3,374.74 : x
  2. Step 2: Convert to fraction form
    4,765.78/7,148.13 = 3,374.74/x
  3. Step 3: Cross multiply
    4,765.78x = 7,148.13 × 3,374.74
  4. Step 4: Simplify right side
    4,765.78x = 24,123,080.24
  5. Step 5: Solve for x
    x = 24,123,080.24/4,765.78
  6. Step 6: Final answer
    x = 5,061.73

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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.