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Finding the Fourth Proportional to 47.13, 65.11 and 36.35

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Solution

The fourth proportional to 47.13, 65.11 and 36.35 is: 50.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.13 : 65.11 = 36.35 : x
  2. Step 2: Convert to fraction form
    47.13/65.11 = 36.35/x
  3. Step 3: Cross multiply
    47.13x = 65.11 × 36.35
  4. Step 4: Simplify right side
    47.13x = 2,366.57
  5. Step 5: Solve for x
    x = 2,366.57/47.13
  6. Step 6: Final answer
    x = 50.21

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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.