Home / 7,838.24-11,758.46-2,292

Finding the Fourth Proportional to 7,838.24, 11,758.46 and 2,292

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Solution

The fourth proportional to 7,838.24, 11,758.46 and 2,292 is: 3,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.24 : 11,758.46 = 2,292 : x
  2. Step 2: Convert to fraction form
    7,838.24/11,758.46 = 2,292/x
  3. Step 3: Cross multiply
    7,838.24x = 11,758.46 × 2,292
  4. Step 4: Simplify right side
    7,838.24x = 26,950,396.05
  5. Step 5: Solve for x
    x = 26,950,396.05/7,838.24
  6. Step 6: Final answer
    x = 3,438.32

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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.