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Finding the Fourth Proportional to 5,281.21, 7,919.42 and 1,991.97

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Solution

The fourth proportional to 5,281.21, 7,919.42 and 1,991.97 is: 2,987.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.21 : 7,919.42 = 1,991.97 : x
  2. Step 2: Convert to fraction form
    5,281.21/7,919.42 = 1,991.97/x
  3. Step 3: Cross multiply
    5,281.21x = 7,919.42 × 1,991.97
  4. Step 4: Simplify right side
    5,281.21x = 15,775,237.10
  5. Step 5: Solve for x
    x = 15,775,237.10/5,281.21
  6. Step 6: Final answer
    x = 2,987.05

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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.