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Finding the Fourth Proportional to 47.53, 71 and 33.90

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Solution

The fourth proportional to 47.53, 71 and 33.90 is: 50.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.53 : 71 = 33.90 : x
  2. Step 2: Convert to fraction form
    47.53/71 = 33.90/x
  3. Step 3: Cross multiply
    47.53x = 71 × 33.90
  4. Step 4: Simplify right side
    47.53x = 2,406.90
  5. Step 5: Solve for x
    x = 2,406.90/47.53
  6. Step 6: Final answer
    x = 50.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.