Home / 1,314.64-1,961.78-1,169.20

Finding the Fourth Proportional to 1,314.64, 1,961.78 and 1,169.20

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Solution

The fourth proportional to 1,314.64, 1,961.78 and 1,169.20 is: 1,744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.64 : 1,961.78 = 1,169.20 : x
  2. Step 2: Convert to fraction form
    1,314.64/1,961.78 = 1,169.20/x
  3. Step 3: Cross multiply
    1,314.64x = 1,961.78 × 1,169.20
  4. Step 4: Simplify right side
    1,314.64x = 2,293,713.18
  5. Step 5: Solve for x
    x = 2,293,713.18/1,314.64
  6. Step 6: Final answer
    x = 1,744.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.