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Finding the Fourth Proportional to 62.08, 85.76 and 47.68

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Solution

The fourth proportional to 62.08, 85.76 and 47.68 is: 65.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.08 : 85.76 = 47.68 : x
  2. Step 2: Convert to fraction form
    62.08/85.76 = 47.68/x
  3. Step 3: Cross multiply
    62.08x = 85.76 × 47.68
  4. Step 4: Simplify right side
    62.08x = 4,089.04
  5. Step 5: Solve for x
    x = 4,089.04/62.08
  6. Step 6: Final answer
    x = 65.87

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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.