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Finding the Fourth Proportional to 7,849.76, 10,843.40 and 6,375.96

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Solution

The fourth proportional to 7,849.76, 10,843.40 and 6,375.96 is: 8,807.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.76 : 10,843.40 = 6,375.96 : x
  2. Step 2: Convert to fraction form
    7,849.76/10,843.40 = 6,375.96/x
  3. Step 3: Cross multiply
    7,849.76x = 10,843.40 × 6,375.96
  4. Step 4: Simplify right side
    7,849.76x = 69,137,100.60
  5. Step 5: Solve for x
    x = 69,137,100.60/7,849.76
  6. Step 6: Final answer
    x = 8,807.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.