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Finding the Fourth Proportional to 2,748.11, 4,121.31 and 992.88

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Solution

The fourth proportional to 2,748.11, 4,121.31 and 992.88 is: 1,489.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.11 : 4,121.31 = 992.88 : x
  2. Step 2: Convert to fraction form
    2,748.11/4,121.31 = 992.88/x
  3. Step 3: Cross multiply
    2,748.11x = 4,121.31 × 992.88
  4. Step 4: Simplify right side
    2,748.11x = 4,091,966.27
  5. Step 5: Solve for x
    x = 4,091,966.27/2,748.11
  6. Step 6: Final answer
    x = 1,489.01

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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.