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Finding the Fourth Proportional to 2,077.68, 3,116.48 and 844.78

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Solution

The fourth proportional to 2,077.68, 3,116.48 and 844.78 is: 1,267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.68 : 3,116.48 = 844.78 : x
  2. Step 2: Convert to fraction form
    2,077.68/3,116.48 = 844.78/x
  3. Step 3: Cross multiply
    2,077.68x = 3,116.48 × 844.78
  4. Step 4: Simplify right side
    2,077.68x = 2,632,739.97
  5. Step 5: Solve for x
    x = 2,632,739.97/2,077.68
  6. Step 6: Final answer
    x = 1,267.15

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1.5x scale

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.