Home / 1,282.24-1,769.88-1,109.44

Finding the Fourth Proportional to 1,282.24, 1,769.88 and 1,109.44

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Solution

The fourth proportional to 1,282.24, 1,769.88 and 1,109.44 is: 1,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.24 : 1,769.88 = 1,109.44 : x
  2. Step 2: Convert to fraction form
    1,282.24/1,769.88 = 1,109.44/x
  3. Step 3: Cross multiply
    1,282.24x = 1,769.88 × 1,109.44
  4. Step 4: Simplify right side
    1,282.24x = 1,963,575.67
  5. Step 5: Solve for x
    x = 1,963,575.67/1,282.24
  6. Step 6: Final answer
    x = 1,531.36

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1.5x scale

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.