Home / 2,098.19-3,146.83-865.28

Finding the Fourth Proportional to 2,098.19, 3,146.83 and 865.28

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Solution

The fourth proportional to 2,098.19, 3,146.83 and 865.28 is: 1,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.19 : 3,146.83 = 865.28 : x
  2. Step 2: Convert to fraction form
    2,098.19/3,146.83 = 865.28/x
  3. Step 3: Cross multiply
    2,098.19x = 3,146.83 × 865.28
  4. Step 4: Simplify right side
    2,098.19x = 2,722,871.17
  5. Step 5: Solve for x
    x = 2,722,871.17/2,098.19
  6. Step 6: Final answer
    x = 1,297.73

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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.