Home / 2,154.60-3,230.82-921.42

Finding the Fourth Proportional to 2,154.60, 3,230.82 and 921.42

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Solution

The fourth proportional to 2,154.60, 3,230.82 and 921.42 is: 1,381.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.60 : 3,230.82 = 921.42 : x
  2. Step 2: Convert to fraction form
    2,154.60/3,230.82 = 921.42/x
  3. Step 3: Cross multiply
    2,154.60x = 3,230.82 × 921.42
  4. Step 4: Simplify right side
    2,154.60x = 2,976,942.16
  5. Step 5: Solve for x
    x = 2,976,942.16/2,154.60
  6. Step 6: Final answer
    x = 1,381.67

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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.