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Finding the Fourth Proportional to 2,123.96, 3,186.14 and 891.20

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Solution

The fourth proportional to 2,123.96, 3,186.14 and 891.20 is: 1,336.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.96 : 3,186.14 = 891.20 : x
  2. Step 2: Convert to fraction form
    2,123.96/3,186.14 = 891.20/x
  3. Step 3: Cross multiply
    2,123.96x = 3,186.14 × 891.20
  4. Step 4: Simplify right side
    2,123.96x = 2,839,487.97
  5. Step 5: Solve for x
    x = 2,839,487.97/2,123.96
  6. Step 6: Final answer
    x = 1,336.88

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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.