Home / 1,220.46-1,827.24-1,105.12

Finding the Fourth Proportional to 1,220.46, 1,827.24 and 1,105.12

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Solution

The fourth proportional to 1,220.46, 1,827.24 and 1,105.12 is: 1,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.46 : 1,827.24 = 1,105.12 : x
  2. Step 2: Convert to fraction form
    1,220.46/1,827.24 = 1,105.12/x
  3. Step 3: Cross multiply
    1,220.46x = 1,827.24 × 1,105.12
  4. Step 4: Simplify right side
    1,220.46x = 2,019,319.47
  5. Step 5: Solve for x
    x = 2,019,319.47/1,220.46
  6. Step 6: Final answer
    x = 1,654.56

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Half scale
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Double scale
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1.5x scale

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.