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Finding the Fourth Proportional to 3,177.65, 4,767.69 and 987.14

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Solution

The fourth proportional to 3,177.65, 4,767.69 and 987.14 is: 1,481.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.65 : 4,767.69 = 987.14 : x
  2. Step 2: Convert to fraction form
    3,177.65/4,767.69 = 987.14/x
  3. Step 3: Cross multiply
    3,177.65x = 4,767.69 × 987.14
  4. Step 4: Simplify right side
    3,177.65x = 4,706,377.51
  5. Step 5: Solve for x
    x = 4,706,377.51/3,177.65
  6. Step 6: Final answer
    x = 1,481.09

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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.