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Finding the Fourth Proportional to 47.53, 65.86 and 46.61

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Solution

The fourth proportional to 47.53, 65.86 and 46.61 is: 64.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.53 : 65.86 = 46.61 : x
  2. Step 2: Convert to fraction form
    47.53/65.86 = 46.61/x
  3. Step 3: Cross multiply
    47.53x = 65.86 × 46.61
  4. Step 4: Simplify right side
    47.53x = 3,069.90
  5. Step 5: Solve for x
    x = 3,069.90/47.53
  6. Step 6: Final answer
    x = 64.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.