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Finding the Fourth Proportional to 3,991.58, 5,988.13 and 1,218.34

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Solution

The fourth proportional to 3,991.58, 5,988.13 and 1,218.34 is: 1,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.58 : 5,988.13 = 1,218.34 : x
  2. Step 2: Convert to fraction form
    3,991.58/5,988.13 = 1,218.34/x
  3. Step 3: Cross multiply
    3,991.58x = 5,988.13 × 1,218.34
  4. Step 4: Simplify right side
    3,991.58x = 7,295,582.74
  5. Step 5: Solve for x
    x = 7,295,582.74/3,991.58
  6. Step 6: Final answer
    x = 1,827.74

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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.