Home / 1,689.28-2,536.76-1,105.28

Finding the Fourth Proportional to 1,689.28, 2,536.76 and 1,105.28

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Solution

The fourth proportional to 1,689.28, 2,536.76 and 1,105.28 is: 1,659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.28 : 2,536.76 = 1,105.28 : x
  2. Step 2: Convert to fraction form
    1,689.28/2,536.76 = 1,105.28/x
  3. Step 3: Cross multiply
    1,689.28x = 2,536.76 × 1,105.28
  4. Step 4: Simplify right side
    1,689.28x = 2,803,830.09
  5. Step 5: Solve for x
    x = 2,803,830.09/1,689.28
  6. Step 6: Final answer
    x = 1,659.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.