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Finding the Fourth Proportional to 5,377.77, 8,069.77 and 2,257.50

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Solution

The fourth proportional to 5,377.77, 8,069.77 and 2,257.50 is: 3,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377.77 : 8,069.77 = 2,257.50 : x
  2. Step 2: Convert to fraction form
    5,377.77/8,069.77 = 2,257.50/x
  3. Step 3: Cross multiply
    5,377.77x = 8,069.77 × 2,257.50
  4. Step 4: Simplify right side
    5,377.77x = 18,217,505.78
  5. Step 5: Solve for x
    x = 18,217,505.78/5,377.77
  6. Step 6: Final answer
    x = 3,387.56

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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.