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Finding the Fourth Proportional to 62.15, 85.77 and 34.53

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Solution

The fourth proportional to 62.15, 85.77 and 34.53 is: 47.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.15 : 85.77 = 34.53 : x
  2. Step 2: Convert to fraction form
    62.15/85.77 = 34.53/x
  3. Step 3: Cross multiply
    62.15x = 85.77 × 34.53
  4. Step 4: Simplify right side
    62.15x = 2,961.21
  5. Step 5: Solve for x
    x = 2,961.21/62.15
  6. Step 6: Final answer
    x = 47.65

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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.