Home / 1,198.19-1,652.10-1,110.71

Finding the Fourth Proportional to 1,198.19, 1,652.10 and 1,110.71

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Solution

The fourth proportional to 1,198.19, 1,652.10 and 1,110.71 is: 1,531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.19 : 1,652.10 = 1,110.71 : x
  2. Step 2: Convert to fraction form
    1,198.19/1,652.10 = 1,110.71/x
  3. Step 3: Cross multiply
    1,198.19x = 1,652.10 × 1,110.71
  4. Step 4: Simplify right side
    1,198.19x = 1,835,003.96
  5. Step 5: Solve for x
    x = 1,835,003.96/1,198.19
  6. Step 6: Final answer
    x = 1,531.48

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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.