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Finding the Fourth Proportional to 3,894.76, 5,841.42 and 1,672.12

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Solution

The fourth proportional to 3,894.76, 5,841.42 and 1,672.12 is: 2,507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.76 : 5,841.42 = 1,672.12 : x
  2. Step 2: Convert to fraction form
    3,894.76/5,841.42 = 1,672.12/x
  3. Step 3: Cross multiply
    3,894.76x = 5,841.42 × 1,672.12
  4. Step 4: Simplify right side
    3,894.76x = 9,767,555.21
  5. Step 5: Solve for x
    x = 9,767,555.21/3,894.76
  6. Step 6: Final answer
    x = 2,507.87

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1.5x scale

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.