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Finding the Fourth Proportional to 51.42, 70.84 and 47.92

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Solution

The fourth proportional to 51.42, 70.84 and 47.92 is: 66.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.42 : 70.84 = 47.92 : x
  2. Step 2: Convert to fraction form
    51.42/70.84 = 47.92/x
  3. Step 3: Cross multiply
    51.42x = 70.84 × 47.92
  4. Step 4: Simplify right side
    51.42x = 3,394.65
  5. Step 5: Solve for x
    x = 3,394.65/51.42
  6. Step 6: Final answer
    x = 66.02

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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.