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Finding the Fourth Proportional to 7,754.52, 11,631.78 and 1,911.13

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Solution

The fourth proportional to 7,754.52, 11,631.78 and 1,911.13 is: 2,866.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.52 : 11,631.78 = 1,911.13 : x
  2. Step 2: Convert to fraction form
    7,754.52/11,631.78 = 1,911.13/x
  3. Step 3: Cross multiply
    7,754.52x = 11,631.78 × 1,911.13
  4. Step 4: Simplify right side
    7,754.52x = 22,229,843.71
  5. Step 5: Solve for x
    x = 22,229,843.71/7,754.52
  6. Step 6: Final answer
    x = 2,866.70

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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.