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Finding the Fourth Proportional to 3,136.80, 4,713.30 and 2,780.40

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Solution

The fourth proportional to 3,136.80, 4,713.30 and 2,780.40 is: 4,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.80 : 4,713.30 = 2,780.40 : x
  2. Step 2: Convert to fraction form
    3,136.80/4,713.30 = 2,780.40/x
  3. Step 3: Cross multiply
    3,136.80x = 4,713.30 × 2,780.40
  4. Step 4: Simplify right side
    3,136.80x = 13,104,859.32
  5. Step 5: Solve for x
    x = 13,104,859.32/3,136.80
  6. Step 6: Final answer
    x = 4,177.78

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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.