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Finding the Fourth Proportional to 54.61, 75.71 and 51.86

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Solution

The fourth proportional to 54.61, 75.71 and 51.86 is: 71.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.61 : 75.71 = 51.86 : x
  2. Step 2: Convert to fraction form
    54.61/75.71 = 51.86/x
  3. Step 3: Cross multiply
    54.61x = 75.71 × 51.86
  4. Step 4: Simplify right side
    54.61x = 3,926.64
  5. Step 5: Solve for x
    x = 3,926.64/54.61
  6. Step 6: Final answer
    x = 71.91

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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.