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Finding the Fourth Proportional to 3,809.76, 5,712.43 and 1,176.56

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Solution

The fourth proportional to 3,809.76, 5,712.43 and 1,176.56 is: 1,764.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.76 : 5,712.43 = 1,176.56 : x
  2. Step 2: Convert to fraction form
    3,809.76/5,712.43 = 1,176.56/x
  3. Step 3: Cross multiply
    3,809.76x = 5,712.43 × 1,176.56
  4. Step 4: Simplify right side
    3,809.76x = 6,720,982.20
  5. Step 5: Solve for x
    x = 6,720,982.20/3,809.76
  6. Step 6: Final answer
    x = 1,764.15

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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.