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Finding the Fourth Proportional to 3,468.42, 5,201.70 and 1,387.68

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Solution

The fourth proportional to 3,468.42, 5,201.70 and 1,387.68 is: 2,081.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.42 : 5,201.70 = 1,387.68 : x
  2. Step 2: Convert to fraction form
    3,468.42/5,201.70 = 1,387.68/x
  3. Step 3: Cross multiply
    3,468.42x = 5,201.70 × 1,387.68
  4. Step 4: Simplify right side
    3,468.42x = 7,218,295.06
  5. Step 5: Solve for x
    x = 7,218,295.06/3,468.42
  6. Step 6: Final answer
    x = 2,081.15

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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.