Home / 1,723.19-2,377.96-977.13

Finding the Fourth Proportional to 1,723.19, 2,377.96 and 977.13

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Solution

The fourth proportional to 1,723.19, 2,377.96 and 977.13 is: 1,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.19 : 2,377.96 = 977.13 : x
  2. Step 2: Convert to fraction form
    1,723.19/2,377.96 = 977.13/x
  3. Step 3: Cross multiply
    1,723.19x = 2,377.96 × 977.13
  4. Step 4: Simplify right side
    1,723.19x = 2,323,573.61
  5. Step 5: Solve for x
    x = 2,323,573.61/1,723.19
  6. Step 6: Final answer
    x = 1,348.42

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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.