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Finding the Fourth Proportional to 2,543.20, 3,807.60 and 2,255.20

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Solution

The fourth proportional to 2,543.20, 3,807.60 and 2,255.20 is: 3,376.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.20 : 3,807.60 = 2,255.20 : x
  2. Step 2: Convert to fraction form
    2,543.20/3,807.60 = 2,255.20/x
  3. Step 3: Cross multiply
    2,543.20x = 3,807.60 × 2,255.20
  4. Step 4: Simplify right side
    2,543.20x = 8,586,899.52
  5. Step 5: Solve for x
    x = 8,586,899.52/2,543.20
  6. Step 6: Final answer
    x = 3,376.42

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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.