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Finding the Fourth Proportional to 3,418.76, 5,129.76 and 1,471.52

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Solution

The fourth proportional to 3,418.76, 5,129.76 and 1,471.52 is: 2,207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.76 : 5,129.76 = 1,471.52 : x
  2. Step 2: Convert to fraction form
    3,418.76/5,129.76 = 1,471.52/x
  3. Step 3: Cross multiply
    3,418.76x = 5,129.76 × 1,471.52
  4. Step 4: Simplify right side
    3,418.76x = 7,548,544.44
  5. Step 5: Solve for x
    x = 7,548,544.44/3,418.76
  6. Step 6: Final answer
    x = 2,207.98

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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.