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Finding the Fourth Proportional to 47.68, 71.53 and 15.62

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Solution

The fourth proportional to 47.68, 71.53 and 15.62 is: 23.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.68 : 71.53 = 15.62 : x
  2. Step 2: Convert to fraction form
    47.68/71.53 = 15.62/x
  3. Step 3: Cross multiply
    47.68x = 71.53 × 15.62
  4. Step 4: Simplify right side
    47.68x = 1,117.30
  5. Step 5: Solve for x
    x = 1,117.30/47.68
  6. Step 6: Final answer
    x = 23.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.