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Finding the Fourth Proportional to 45.62, 62.94 and 34.70

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Solution

The fourth proportional to 45.62, 62.94 and 34.70 is: 47.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.62 : 62.94 = 34.70 : x
  2. Step 2: Convert to fraction form
    45.62/62.94 = 34.70/x
  3. Step 3: Cross multiply
    45.62x = 62.94 × 34.70
  4. Step 4: Simplify right side
    45.62x = 2,184.02
  5. Step 5: Solve for x
    x = 2,184.02/45.62
  6. Step 6: Final answer
    x = 47.87

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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.