Home / 5,222.88-7,834.74-2,102.49

Finding the Fourth Proportional to 5,222.88, 7,834.74 and 2,102.49

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Solution

The fourth proportional to 5,222.88, 7,834.74 and 2,102.49 is: 3,153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.88 : 7,834.74 = 2,102.49 : x
  2. Step 2: Convert to fraction form
    5,222.88/7,834.74 = 2,102.49/x
  3. Step 3: Cross multiply
    5,222.88x = 7,834.74 × 2,102.49
  4. Step 4: Simplify right side
    5,222.88x = 16,472,462.50
  5. Step 5: Solve for x
    x = 16,472,462.50/5,222.88
  6. Step 6: Final answer
    x = 3,153.90

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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.