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Finding the Fourth Proportional to 3,402.87, 4,693.05 and 2,874.33

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Solution

The fourth proportional to 3,402.87, 4,693.05 and 2,874.33 is: 3,964.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.87 : 4,693.05 = 2,874.33 : x
  2. Step 2: Convert to fraction form
    3,402.87/4,693.05 = 2,874.33/x
  3. Step 3: Cross multiply
    3,402.87x = 4,693.05 × 2,874.33
  4. Step 4: Simplify right side
    3,402.87x = 13,489,374.41
  5. Step 5: Solve for x
    x = 13,489,374.41/3,402.87
  6. Step 6: Final answer
    x = 3,964.12

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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.