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Finding the Fourth Proportional to 7,891.74, 11,839.23 and 2,698.02

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Solution

The fourth proportional to 7,891.74, 11,839.23 and 2,698.02 is: 4,047.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.74 : 11,839.23 = 2,698.02 : x
  2. Step 2: Convert to fraction form
    7,891.74/11,839.23 = 2,698.02/x
  3. Step 3: Cross multiply
    7,891.74x = 11,839.23 × 2,698.02
  4. Step 4: Simplify right side
    7,891.74x = 31,942,479.32
  5. Step 5: Solve for x
    x = 31,942,479.32/7,891.74
  6. Step 6: Final answer
    x = 4,047.58

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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.