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Finding the Fourth Proportional to 6,342.70, 9,515 and 3,419.42

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Solution

The fourth proportional to 6,342.70, 9,515 and 3,419.42 is: 5,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.70 : 9,515 = 3,419.42 : x
  2. Step 2: Convert to fraction form
    6,342.70/9,515 = 3,419.42/x
  3. Step 3: Cross multiply
    6,342.70x = 9,515 × 3,419.42
  4. Step 4: Simplify right side
    6,342.70x = 32,535,781.30
  5. Step 5: Solve for x
    x = 32,535,781.30/6,342.70
  6. Step 6: Final answer
    x = 5,129.64

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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.