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Finding the Fourth Proportional to 4,658.85, 6,982.40 and 2,708.78

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Solution

The fourth proportional to 4,658.85, 6,982.40 and 2,708.78 is: 4,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.85 : 6,982.40 = 2,708.78 : x
  2. Step 2: Convert to fraction form
    4,658.85/6,982.40 = 2,708.78/x
  3. Step 3: Cross multiply
    4,658.85x = 6,982.40 × 2,708.78
  4. Step 4: Simplify right side
    4,658.85x = 18,913,757.33
  5. Step 5: Solve for x
    x = 18,913,757.33/4,658.85
  6. Step 6: Final answer
    x = 4,059.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.