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Finding the Fourth Proportional to 3,176.28, 4,764.56 and 986.49

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Solution

The fourth proportional to 3,176.28, 4,764.56 and 986.49 is: 1,479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.28 : 4,764.56 = 986.49 : x
  2. Step 2: Convert to fraction form
    3,176.28/4,764.56 = 986.49/x
  3. Step 3: Cross multiply
    3,176.28x = 4,764.56 × 986.49
  4. Step 4: Simplify right side
    3,176.28x = 4,700,185.86
  5. Step 5: Solve for x
    x = 4,700,185.86/3,176.28
  6. Step 6: Final answer
    x = 1,479.78

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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.