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Finding the Fourth Proportional to 10,641.80, 15,974.22 and 7,865.48

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Solution

The fourth proportional to 10,641.80, 15,974.22 and 7,865.48 is: 11,806.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.80 : 15,974.22 = 7,865.48 : x
  2. Step 2: Convert to fraction form
    10,641.80/15,974.22 = 7,865.48/x
  3. Step 3: Cross multiply
    10,641.80x = 15,974.22 × 7,865.48
  4. Step 4: Simplify right side
    10,641.80x = 125,644,907.93
  5. Step 5: Solve for x
    x = 125,644,907.93/10,641.80
  6. Step 6: Final answer
    x = 11,806.73

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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.