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Finding the Fourth Proportional to 5,277.42, 7,918.22 and 1,991.39

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Solution

The fourth proportional to 5,277.42, 7,918.22 and 1,991.39 is: 2,987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.42 : 7,918.22 = 1,991.39 : x
  2. Step 2: Convert to fraction form
    5,277.42/7,918.22 = 1,991.39/x
  3. Step 3: Cross multiply
    5,277.42x = 7,918.22 × 1,991.39
  4. Step 4: Simplify right side
    5,277.42x = 15,768,229.51
  5. Step 5: Solve for x
    x = 15,768,229.51/5,277.42
  6. Step 6: Final answer
    x = 2,987.87

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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.