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Finding the Fourth Proportional to 3,177.92, 4,767.62 and 986.53

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Solution

The fourth proportional to 3,177.92, 4,767.62 and 986.53 is: 1,480.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.92 : 4,767.62 = 986.53 : x
  2. Step 2: Convert to fraction form
    3,177.92/4,767.62 = 986.53/x
  3. Step 3: Cross multiply
    3,177.92x = 4,767.62 × 986.53
  4. Step 4: Simplify right side
    3,177.92x = 4,703,400.16
  5. Step 5: Solve for x
    x = 4,703,400.16/3,177.92
  6. Step 6: Final answer
    x = 1,480.02

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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.