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Finding the Fourth Proportional to 3,542.78, 4,891.12 and 2,597.78

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Solution

The fourth proportional to 3,542.78, 4,891.12 and 2,597.78 is: 3,586.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.78 : 4,891.12 = 2,597.78 : x
  2. Step 2: Convert to fraction form
    3,542.78/4,891.12 = 2,597.78/x
  3. Step 3: Cross multiply
    3,542.78x = 4,891.12 × 2,597.78
  4. Step 4: Simplify right side
    3,542.78x = 12,706,053.71
  5. Step 5: Solve for x
    x = 12,706,053.71/3,542.78
  6. Step 6: Final answer
    x = 3,586.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.