Home / 2,098.48-3,148.10-865.22

Finding the Fourth Proportional to 2,098.48, 3,148.10 and 865.22

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Solution

The fourth proportional to 2,098.48, 3,148.10 and 865.22 is: 1,297.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.48 : 3,148.10 = 865.22 : x
  2. Step 2: Convert to fraction form
    2,098.48/3,148.10 = 865.22/x
  3. Step 3: Cross multiply
    2,098.48x = 3,148.10 × 865.22
  4. Step 4: Simplify right side
    2,098.48x = 2,723,799.08
  5. Step 5: Solve for x
    x = 2,723,799.08/2,098.48
  6. Step 6: Final answer
    x = 1,297.99

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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.