Home / 2,231.60-3,082.20-2,102

Finding the Fourth Proportional to 2,231.60, 3,082.20 and 2,102

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Solution

The fourth proportional to 2,231.60, 3,082.20 and 2,102 is: 2,903.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.60 : 3,082.20 = 2,102 : x
  2. Step 2: Convert to fraction form
    2,231.60/3,082.20 = 2,102/x
  3. Step 3: Cross multiply
    2,231.60x = 3,082.20 × 2,102
  4. Step 4: Simplify right side
    2,231.60x = 6,478,784.40
  5. Step 5: Solve for x
    x = 6,478,784.40/2,231.60
  6. Step 6: Final answer
    x = 2,903.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.