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Finding the Fourth Proportional to 1,642.38, 2,265.93 and 979.14

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Solution

The fourth proportional to 1,642.38, 2,265.93 and 979.14 is: 1,350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.38 : 2,265.93 = 979.14 : x
  2. Step 2: Convert to fraction form
    1,642.38/2,265.93 = 979.14/x
  3. Step 3: Cross multiply
    1,642.38x = 2,265.93 × 979.14
  4. Step 4: Simplify right side
    1,642.38x = 2,218,651.37
  5. Step 5: Solve for x
    x = 2,218,651.37/1,642.38
  6. Step 6: Final answer
    x = 1,350.88

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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.