Home / 2,101.64-3,151.92-869.40

Finding the Fourth Proportional to 2,101.64, 3,151.92 and 869.40

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Solution

The fourth proportional to 2,101.64, 3,151.92 and 869.40 is: 1,303.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.64 : 3,151.92 = 869.40 : x
  2. Step 2: Convert to fraction form
    2,101.64/3,151.92 = 869.40/x
  3. Step 3: Cross multiply
    2,101.64x = 3,151.92 × 869.40
  4. Step 4: Simplify right side
    2,101.64x = 2,740,279.25
  5. Step 5: Solve for x
    x = 2,740,279.25/2,101.64
  6. Step 6: Final answer
    x = 1,303.88

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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.