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Finding the Fourth Proportional to 2,099.18, 3,147.90 and 865.76

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Solution

The fourth proportional to 2,099.18, 3,147.90 and 865.76 is: 1,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.18 : 3,147.90 = 865.76 : x
  2. Step 2: Convert to fraction form
    2,099.18/3,147.90 = 865.76/x
  3. Step 3: Cross multiply
    2,099.18x = 3,147.90 × 865.76
  4. Step 4: Simplify right side
    2,099.18x = 2,725,310.16
  5. Step 5: Solve for x
    x = 2,725,310.16/2,099.18
  6. Step 6: Final answer
    x = 1,298.28

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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.