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Finding the Fourth Proportional to 47.70, 72.48 and 47.70

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Solution

The fourth proportional to 47.70, 72.48 and 47.70 is: 72.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.70 : 72.48 = 47.70 : x
  2. Step 2: Convert to fraction form
    47.70/72.48 = 47.70/x
  3. Step 3: Cross multiply
    47.70x = 72.48 × 47.70
  4. Step 4: Simplify right side
    47.70x = 3,457.30
  5. Step 5: Solve for x
    x = 3,457.30/47.70
  6. Step 6: Final answer
    x = 72.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.