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Finding the Fourth Proportional to 3,292, 4,542.90 and 1,966

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Solution

The fourth proportional to 3,292, 4,542.90 and 1,966 is: 2,713.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292 : 4,542.90 = 1,966 : x
  2. Step 2: Convert to fraction form
    3,292/4,542.90 = 1,966/x
  3. Step 3: Cross multiply
    3,292x = 4,542.90 × 1,966
  4. Step 4: Simplify right side
    3,292x = 8,931,341.40
  5. Step 5: Solve for x
    x = 8,931,341.40/3,292
  6. Step 6: Final answer
    x = 2,713.04

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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.