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Finding the Fourth Proportional to 47.72, 65.75 and 39.53

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Solution

The fourth proportional to 47.72, 65.75 and 39.53 is: 54.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.72 : 65.75 = 39.53 : x
  2. Step 2: Convert to fraction form
    47.72/65.75 = 39.53/x
  3. Step 3: Cross multiply
    47.72x = 65.75 × 39.53
  4. Step 4: Simplify right side
    47.72x = 2,598.57
  5. Step 5: Solve for x
    x = 2,598.57/47.72
  6. Step 6: Final answer
    x = 54.46

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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.