Home / 5,212.24-7,821.24-2,134

Finding the Fourth Proportional to 5,212.24, 7,821.24 and 2,134

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Solution

The fourth proportional to 5,212.24, 7,821.24 and 2,134 is: 3,202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.24 : 7,821.24 = 2,134 : x
  2. Step 2: Convert to fraction form
    5,212.24/7,821.24 = 2,134/x
  3. Step 3: Cross multiply
    5,212.24x = 7,821.24 × 2,134
  4. Step 4: Simplify right side
    5,212.24x = 16,690,526.16
  5. Step 5: Solve for x
    x = 16,690,526.16/5,212.24
  6. Step 6: Final answer
    x = 3,202.18

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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.