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Finding the Fourth Proportional to 3,225.82, 4,454.14 and 2,478.60

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Solution

The fourth proportional to 3,225.82, 4,454.14 and 2,478.60 is: 3,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.82 : 4,454.14 = 2,478.60 : x
  2. Step 2: Convert to fraction form
    3,225.82/4,454.14 = 2,478.60/x
  3. Step 3: Cross multiply
    3,225.82x = 4,454.14 × 2,478.60
  4. Step 4: Simplify right side
    3,225.82x = 11,040,031.40
  5. Step 5: Solve for x
    x = 11,040,031.40/3,225.82
  6. Step 6: Final answer
    x = 3,422.40

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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.