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Finding the Fourth Proportional to 5,197.61, 7,172.74 and 2,839.81

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Solution

The fourth proportional to 5,197.61, 7,172.74 and 2,839.81 is: 3,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.61 : 7,172.74 = 2,839.81 : x
  2. Step 2: Convert to fraction form
    5,197.61/7,172.74 = 2,839.81/x
  3. Step 3: Cross multiply
    5,197.61x = 7,172.74 × 2,839.81
  4. Step 4: Simplify right side
    5,197.61x = 20,369,218.78
  5. Step 5: Solve for x
    x = 20,369,218.78/5,197.61
  6. Step 6: Final answer
    x = 3,918.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.