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Finding the Fourth Proportional to 3,420.52, 5,129.96 and 955.42

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Solution

The fourth proportional to 3,420.52, 5,129.96 and 955.42 is: 1,432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.52 : 5,129.96 = 955.42 : x
  2. Step 2: Convert to fraction form
    3,420.52/5,129.96 = 955.42/x
  3. Step 3: Cross multiply
    3,420.52x = 5,129.96 × 955.42
  4. Step 4: Simplify right side
    3,420.52x = 4,901,266.38
  5. Step 5: Solve for x
    x = 4,901,266.38/3,420.52
  6. Step 6: Final answer
    x = 1,432.90

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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.