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Finding the Fourth Proportional to 3,292.80, 4,941.12 and 1,346.40

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Solution

The fourth proportional to 3,292.80, 4,941.12 and 1,346.40 is: 2,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.80 : 4,941.12 = 1,346.40 : x
  2. Step 2: Convert to fraction form
    3,292.80/4,941.12 = 1,346.40/x
  3. Step 3: Cross multiply
    3,292.80x = 4,941.12 × 1,346.40
  4. Step 4: Simplify right side
    3,292.80x = 6,652,723.97
  5. Step 5: Solve for x
    x = 6,652,723.97/3,292.80
  6. Step 6: Final answer
    x = 2,020.39

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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.