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Finding the Fourth Proportional to 47.56, 71.09 and 39.40

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Solution

The fourth proportional to 47.56, 71.09 and 39.40 is: 58.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.56 : 71.09 = 39.40 : x
  2. Step 2: Convert to fraction form
    47.56/71.09 = 39.40/x
  3. Step 3: Cross multiply
    47.56x = 71.09 × 39.40
  4. Step 4: Simplify right side
    47.56x = 2,800.95
  5. Step 5: Solve for x
    x = 2,800.95/47.56
  6. Step 6: Final answer
    x = 58.89

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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.