Home / 5,214.24-7,824-2,294.58

Finding the Fourth Proportional to 5,214.24, 7,824 and 2,294.58

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Solution

The fourth proportional to 5,214.24, 7,824 and 2,294.58 is: 3,443.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.24 : 7,824 = 2,294.58 : x
  2. Step 2: Convert to fraction form
    5,214.24/7,824 = 2,294.58/x
  3. Step 3: Cross multiply
    5,214.24x = 7,824 × 2,294.58
  4. Step 4: Simplify right side
    5,214.24x = 17,952,793.92
  5. Step 5: Solve for x
    x = 17,952,793.92/5,214.24
  6. Step 6: Final answer
    x = 3,443.03

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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.