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Finding the Fourth Proportional to 51.35, 76.62 and 47.70

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Solution

The fourth proportional to 51.35, 76.62 and 47.70 is: 71.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.35 : 76.62 = 47.70 : x
  2. Step 2: Convert to fraction form
    51.35/76.62 = 47.70/x
  3. Step 3: Cross multiply
    51.35x = 76.62 × 47.70
  4. Step 4: Simplify right side
    51.35x = 3,654.77
  5. Step 5: Solve for x
    x = 3,654.77/51.35
  6. Step 6: Final answer
    x = 71.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.