Home / 1,723.49-2,378.46-977.43

Finding the Fourth Proportional to 1,723.49, 2,378.46 and 977.43

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Solution

The fourth proportional to 1,723.49, 2,378.46 and 977.43 is: 1,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.49 : 2,378.46 = 977.43 : x
  2. Step 2: Convert to fraction form
    1,723.49/2,378.46 = 977.43/x
  3. Step 3: Cross multiply
    1,723.49x = 2,378.46 × 977.43
  4. Step 4: Simplify right side
    1,723.49x = 2,324,766.27
  5. Step 5: Solve for x
    x = 2,324,766.27/1,723.49
  6. Step 6: Final answer
    x = 1,348.88

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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.