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Finding the Fourth Proportional to 3,991.95, 5,989.20 and 1,219.16

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Solution

The fourth proportional to 3,991.95, 5,989.20 and 1,219.16 is: 1,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.95 : 5,989.20 = 1,219.16 : x
  2. Step 2: Convert to fraction form
    3,991.95/5,989.20 = 1,219.16/x
  3. Step 3: Cross multiply
    3,991.95x = 5,989.20 × 1,219.16
  4. Step 4: Simplify right side
    3,991.95x = 7,301,763.13
  5. Step 5: Solve for x
    x = 7,301,763.13/3,991.95
  6. Step 6: Final answer
    x = 1,829.12

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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.