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Finding the Fourth Proportional to 51.42, 71.25 and 46.87

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Solution

The fourth proportional to 51.42, 71.25 and 46.87 is: 64.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.42 : 71.25 = 46.87 : x
  2. Step 2: Convert to fraction form
    51.42/71.25 = 46.87/x
  3. Step 3: Cross multiply
    51.42x = 71.25 × 46.87
  4. Step 4: Simplify right side
    51.42x = 3,339.49
  5. Step 5: Solve for x
    x = 3,339.49/51.42
  6. Step 6: Final answer
    x = 64.95

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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.