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Finding the Fourth Proportional to 7,247.86, 10,871.84 and 1,982.76

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Solution

The fourth proportional to 7,247.86, 10,871.84 and 1,982.76 is: 2,974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,247.86 : 10,871.84 = 1,982.76 : x
  2. Step 2: Convert to fraction form
    7,247.86/10,871.84 = 1,982.76/x
  3. Step 3: Cross multiply
    7,247.86x = 10,871.84 × 1,982.76
  4. Step 4: Simplify right side
    7,247.86x = 21,556,195.12
  5. Step 5: Solve for x
    x = 21,556,195.12/7,247.86
  6. Step 6: Final answer
    x = 2,974.15

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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.