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Finding the Fourth Proportional to 2,074.80, 2,863.10 and 1,189.96

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Solution

The fourth proportional to 2,074.80, 2,863.10 and 1,189.96 is: 1,642.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.80 : 2,863.10 = 1,189.96 : x
  2. Step 2: Convert to fraction form
    2,074.80/2,863.10 = 1,189.96/x
  3. Step 3: Cross multiply
    2,074.80x = 2,863.10 × 1,189.96
  4. Step 4: Simplify right side
    2,074.80x = 3,406,974.48
  5. Step 5: Solve for x
    x = 3,406,974.48/2,074.80
  6. Step 6: Final answer
    x = 1,642.07

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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.