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Finding the Fourth Proportional to 3,422.97, 4,743.23 and 3,214.89

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Solution

The fourth proportional to 3,422.97, 4,743.23 and 3,214.89 is: 4,454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.97 : 4,743.23 = 3,214.89 : x
  2. Step 2: Convert to fraction form
    3,422.97/4,743.23 = 3,214.89/x
  3. Step 3: Cross multiply
    3,422.97x = 4,743.23 × 3,214.89
  4. Step 4: Simplify right side
    3,422.97x = 15,248,946.62
  5. Step 5: Solve for x
    x = 15,248,946.62/3,422.97
  6. Step 6: Final answer
    x = 4,454.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.