Home / 7,838.41-11,759.13-2,291.78

Finding the Fourth Proportional to 7,838.41, 11,759.13 and 2,291.78

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Solution

The fourth proportional to 7,838.41, 11,759.13 and 2,291.78 is: 3,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.41 : 11,759.13 = 2,291.78 : x
  2. Step 2: Convert to fraction form
    7,838.41/11,759.13 = 2,291.78/x
  3. Step 3: Cross multiply
    7,838.41x = 11,759.13 × 2,291.78
  4. Step 4: Simplify right side
    7,838.41x = 26,949,338.95
  5. Step 5: Solve for x
    x = 26,949,338.95/7,838.41
  6. Step 6: Final answer
    x = 3,438.11

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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.