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Finding the Fourth Proportional to 3,177.65, 4,767.20 and 986.60

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Solution

The fourth proportional to 3,177.65, 4,767.20 and 986.60 is: 1,480.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.65 : 4,767.20 = 986.60 : x
  2. Step 2: Convert to fraction form
    3,177.65/4,767.20 = 986.60/x
  3. Step 3: Cross multiply
    3,177.65x = 4,767.20 × 986.60
  4. Step 4: Simplify right side
    3,177.65x = 4,703,319.52
  5. Step 5: Solve for x
    x = 4,703,319.52/3,177.65
  6. Step 6: Final answer
    x = 1,480.13

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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.