Home / 1,723.24-2,378.12-977.18

Finding the Fourth Proportional to 1,723.24, 2,378.12 and 977.18

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Solution

The fourth proportional to 1,723.24, 2,378.12 and 977.18 is: 1,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.24 : 2,378.12 = 977.18 : x
  2. Step 2: Convert to fraction form
    1,723.24/2,378.12 = 977.18/x
  3. Step 3: Cross multiply
    1,723.24x = 2,378.12 × 977.18
  4. Step 4: Simplify right side
    1,723.24x = 2,323,834.53
  5. Step 5: Solve for x
    x = 2,323,834.53/1,723.24
  6. Step 6: Final answer
    x = 1,348.53

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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.