Home / 1,306.64-1,949.86-1,161.20

Finding the Fourth Proportional to 1,306.64, 1,949.86 and 1,161.20

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Solution

The fourth proportional to 1,306.64, 1,949.86 and 1,161.20 is: 1,732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.64 : 1,949.86 = 1,161.20 : x
  2. Step 2: Convert to fraction form
    1,306.64/1,949.86 = 1,161.20/x
  3. Step 3: Cross multiply
    1,306.64x = 1,949.86 × 1,161.20
  4. Step 4: Simplify right side
    1,306.64x = 2,264,177.43
  5. Step 5: Solve for x
    x = 2,264,177.43/1,306.64
  6. Step 6: Final answer
    x = 1,732.82

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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.