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Finding the Fourth Proportional to 39.53, 59.01 and 34.76

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Solution

The fourth proportional to 39.53, 59.01 and 34.76 is: 51.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.53 : 59.01 = 34.76 : x
  2. Step 2: Convert to fraction form
    39.53/59.01 = 34.76/x
  3. Step 3: Cross multiply
    39.53x = 59.01 × 34.76
  4. Step 4: Simplify right side
    39.53x = 2,051.20
  5. Step 5: Solve for x
    x = 2,051.20/39.53
  6. Step 6: Final answer
    x = 51.89

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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.