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Finding the Fourth Proportional to 3,376.64, 4,658.24 and 1,978.80

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Solution

The fourth proportional to 3,376.64, 4,658.24 and 1,978.80 is: 2,729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.64 : 4,658.24 = 1,978.80 : x
  2. Step 2: Convert to fraction form
    3,376.64/4,658.24 = 1,978.80/x
  3. Step 3: Cross multiply
    3,376.64x = 4,658.24 × 1,978.80
  4. Step 4: Simplify right side
    3,376.64x = 9,217,725.31
  5. Step 5: Solve for x
    x = 9,217,725.31/3,376.64
  6. Step 6: Final answer
    x = 2,729.85

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1.5x scale

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.