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Finding the Fourth Proportional to 47.87, 71.85 and 34.20

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Solution

The fourth proportional to 47.87, 71.85 and 34.20 is: 51.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.87 : 71.85 = 34.20 : x
  2. Step 2: Convert to fraction form
    47.87/71.85 = 34.20/x
  3. Step 3: Cross multiply
    47.87x = 71.85 × 34.20
  4. Step 4: Simplify right side
    47.87x = 2,457.17
  5. Step 5: Solve for x
    x = 2,457.17/47.87
  6. Step 6: Final answer
    x = 51.33

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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.