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Finding the Fourth Proportional to 7,838.59, 11,757.89 and 2,644.47

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Solution

The fourth proportional to 7,838.59, 11,757.89 and 2,644.47 is: 3,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.59 : 11,757.89 = 2,644.47 : x
  2. Step 2: Convert to fraction form
    7,838.59/11,757.89 = 2,644.47/x
  3. Step 3: Cross multiply
    7,838.59x = 11,757.89 × 2,644.47
  4. Step 4: Simplify right side
    7,838.59x = 31,093,387.37
  5. Step 5: Solve for x
    x = 31,093,387.37/7,838.59
  6. Step 6: Final answer
    x = 3,966.71

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1.5x scale

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.