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Finding the Fourth Proportional to 47.53, 65.52 and 39.74

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Solution

The fourth proportional to 47.53, 65.52 and 39.74 is: 54.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.53 : 65.52 = 39.74 : x
  2. Step 2: Convert to fraction form
    47.53/65.52 = 39.74/x
  3. Step 3: Cross multiply
    47.53x = 65.52 × 39.74
  4. Step 4: Simplify right side
    47.53x = 2,603.44
  5. Step 5: Solve for x
    x = 2,603.44/47.53
  6. Step 6: Final answer
    x = 54.77

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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.