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Finding the Fourth Proportional to 1,966.03, 2,713.20 and 1,081.90

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Solution

The fourth proportional to 1,966.03, 2,713.20 and 1,081.90 is: 1,493.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.03 : 2,713.20 = 1,081.90 : x
  2. Step 2: Convert to fraction form
    1,966.03/2,713.20 = 1,081.90/x
  3. Step 3: Cross multiply
    1,966.03x = 2,713.20 × 1,081.90
  4. Step 4: Simplify right side
    1,966.03x = 2,935,411.08
  5. Step 5: Solve for x
    x = 2,935,411.08/1,966.03
  6. Step 6: Final answer
    x = 1,493.07

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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.