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Finding the Fourth Proportional to 52.17, 72.00 and 39.86

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Solution

The fourth proportional to 52.17, 72.00 and 39.86 is: 55.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.17 : 72.00 = 39.86 : x
  2. Step 2: Convert to fraction form
    52.17/72.00 = 39.86/x
  3. Step 3: Cross multiply
    52.17x = 72.00 × 39.86
  4. Step 4: Simplify right side
    52.17x = 2,869.72
  5. Step 5: Solve for x
    x = 2,869.72/52.17
  6. Step 6: Final answer
    x = 55.01

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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.