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Finding the Fourth Proportional to 2,561.78, 3,842.67 and 712.90

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Solution

The fourth proportional to 2,561.78, 3,842.67 and 712.90 is: 1,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.78 : 3,842.67 = 712.90 : x
  2. Step 2: Convert to fraction form
    2,561.78/3,842.67 = 712.90/x
  3. Step 3: Cross multiply
    2,561.78x = 3,842.67 × 712.90
  4. Step 4: Simplify right side
    2,561.78x = 2,739,439.44
  5. Step 5: Solve for x
    x = 2,739,439.44/2,561.78
  6. Step 6: Final answer
    x = 1,069.35

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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.