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Finding the Fourth Proportional to 5,167.87, 7,134.38 and 4,148.48

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Solution

The fourth proportional to 5,167.87, 7,134.38 and 4,148.48 is: 5,727.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.87 : 7,134.38 = 4,148.48 : x
  2. Step 2: Convert to fraction form
    5,167.87/7,134.38 = 4,148.48/x
  3. Step 3: Cross multiply
    5,167.87x = 7,134.38 × 4,148.48
  4. Step 4: Simplify right side
    5,167.87x = 29,596,845.39
  5. Step 5: Solve for x
    x = 29,596,845.39/5,167.87
  6. Step 6: Final answer
    x = 5,727.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.