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Finding the Fourth Proportional to 6,986.16, 10,471.32 and 3,471.78

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Solution

The fourth proportional to 6,986.16, 10,471.32 and 3,471.78 is: 5,203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.16 : 10,471.32 = 3,471.78 : x
  2. Step 2: Convert to fraction form
    6,986.16/10,471.32 = 3,471.78/x
  3. Step 3: Cross multiply
    6,986.16x = 10,471.32 × 3,471.78
  4. Step 4: Simplify right side
    6,986.16x = 36,354,119.35
  5. Step 5: Solve for x
    x = 36,354,119.35/6,986.16
  6. Step 6: Final answer
    x = 5,203.73

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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.