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Finding the Fourth Proportional to 2,073.80, 3,108.78 and 774.40

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Solution

The fourth proportional to 2,073.80, 3,108.78 and 774.40 is: 1,160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.80 : 3,108.78 = 774.40 : x
  2. Step 2: Convert to fraction form
    2,073.80/3,108.78 = 774.40/x
  3. Step 3: Cross multiply
    2,073.80x = 3,108.78 × 774.40
  4. Step 4: Simplify right side
    2,073.80x = 2,407,439.23
  5. Step 5: Solve for x
    x = 2,407,439.23/2,073.80
  6. Step 6: Final answer
    x = 1,160.88

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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.