Home / 2,102.45-3,151.37-869.20

Finding the Fourth Proportional to 2,102.45, 3,151.37 and 869.20

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Solution

The fourth proportional to 2,102.45, 3,151.37 and 869.20 is: 1,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.45 : 3,151.37 = 869.20 : x
  2. Step 2: Convert to fraction form
    2,102.45/3,151.37 = 869.20/x
  3. Step 3: Cross multiply
    2,102.45x = 3,151.37 × 869.20
  4. Step 4: Simplify right side
    2,102.45x = 2,739,165.10
  5. Step 5: Solve for x
    x = 2,739,165.10/2,102.45
  6. Step 6: Final answer
    x = 1,302.85

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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.