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Finding the Fourth Proportional to 2,872.62, 3,966.03 and 1,988.10

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Solution

The fourth proportional to 2,872.62, 3,966.03 and 1,988.10 is: 2,744.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.62 : 3,966.03 = 1,988.10 : x
  2. Step 2: Convert to fraction form
    2,872.62/3,966.03 = 1,988.10/x
  3. Step 3: Cross multiply
    2,872.62x = 3,966.03 × 1,988.10
  4. Step 4: Simplify right side
    2,872.62x = 7,884,864.24
  5. Step 5: Solve for x
    x = 7,884,864.24/2,872.62
  6. Step 6: Final answer
    x = 2,744.83

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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.