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Finding the Fourth Proportional to 47.34, 65.05 and 38.70

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Solution

The fourth proportional to 47.34, 65.05 and 38.70 is: 53.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.34 : 65.05 = 38.70 : x
  2. Step 2: Convert to fraction form
    47.34/65.05 = 38.70/x
  3. Step 3: Cross multiply
    47.34x = 65.05 × 38.70
  4. Step 4: Simplify right side
    47.34x = 2,517.24
  5. Step 5: Solve for x
    x = 2,517.24/47.34
  6. Step 6: Final answer
    x = 53.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.