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Finding the Fourth Proportional to 3,375.75, 4,658.85 and 1,978.77

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Solution

The fourth proportional to 3,375.75, 4,658.85 and 1,978.77 is: 2,730.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.75 : 4,658.85 = 1,978.77 : x
  2. Step 2: Convert to fraction form
    3,375.75/4,658.85 = 1,978.77/x
  3. Step 3: Cross multiply
    3,375.75x = 4,658.85 × 1,978.77
  4. Step 4: Simplify right side
    3,375.75x = 9,218,792.61
  5. Step 5: Solve for x
    x = 9,218,792.61/3,375.75
  6. Step 6: Final answer
    x = 2,730.89

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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.