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Finding the Fourth Proportional to 3,991.61, 5,987.46 and 1,218.71

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Solution

The fourth proportional to 3,991.61, 5,987.46 and 1,218.71 is: 1,828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.61 : 5,987.46 = 1,218.71 : x
  2. Step 2: Convert to fraction form
    3,991.61/5,987.46 = 1,218.71/x
  3. Step 3: Cross multiply
    3,991.61x = 5,987.46 × 1,218.71
  4. Step 4: Simplify right side
    3,991.61x = 7,296,977.38
  5. Step 5: Solve for x
    x = 7,296,977.38/3,991.61
  6. Step 6: Final answer
    x = 1,828.08

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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.