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Finding the Fourth Proportional to 47.61, 65.73 and 37.81

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Solution

The fourth proportional to 47.61, 65.73 and 37.81 is: 52.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.61 : 65.73 = 37.81 : x
  2. Step 2: Convert to fraction form
    47.61/65.73 = 37.81/x
  3. Step 3: Cross multiply
    47.61x = 65.73 × 37.81
  4. Step 4: Simplify right side
    47.61x = 2,485.57
  5. Step 5: Solve for x
    x = 2,485.57/47.61
  6. Step 6: Final answer
    x = 52.21

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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.