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Finding the Fourth Proportional to 1,966.10, 2,713.12 and 1,081.88

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Solution

The fourth proportional to 1,966.10, 2,713.12 and 1,081.88 is: 1,492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.10 : 2,713.12 = 1,081.88 : x
  2. Step 2: Convert to fraction form
    1,966.10/2,713.12 = 1,081.88/x
  3. Step 3: Cross multiply
    1,966.10x = 2,713.12 × 1,081.88
  4. Step 4: Simplify right side
    1,966.10x = 2,935,270.27
  5. Step 5: Solve for x
    x = 2,935,270.27/1,966.10
  6. Step 6: Final answer
    x = 1,492.94

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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.