Home / 1,102.19-1,665.78-1,083.05

Finding the Fourth Proportional to 1,102.19, 1,665.78 and 1,083.05

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Solution

The fourth proportional to 1,102.19, 1,665.78 and 1,083.05 is: 1,636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.19 : 1,665.78 = 1,083.05 : x
  2. Step 2: Convert to fraction form
    1,102.19/1,665.78 = 1,083.05/x
  3. Step 3: Cross multiply
    1,102.19x = 1,665.78 × 1,083.05
  4. Step 4: Simplify right side
    1,102.19x = 1,804,132.35
  5. Step 5: Solve for x
    x = 1,804,132.35/1,102.19
  6. Step 6: Final answer
    x = 1,636.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.