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Finding the Fourth Proportional to 2,847.80, 3,923.16 and 2,726.30

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Solution

The fourth proportional to 2,847.80, 3,923.16 and 2,726.30 is: 3,755.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.80 : 3,923.16 = 2,726.30 : x
  2. Step 2: Convert to fraction form
    2,847.80/3,923.16 = 2,726.30/x
  3. Step 3: Cross multiply
    2,847.80x = 3,923.16 × 2,726.30
  4. Step 4: Simplify right side
    2,847.80x = 10,695,711.11
  5. Step 5: Solve for x
    x = 10,695,711.11/2,847.80
  6. Step 6: Final answer
    x = 3,755.78

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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.