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Finding the Fourth Proportional to 5,381.97, 8,075.03 and 2,097.39

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Solution

The fourth proportional to 5,381.97, 8,075.03 and 2,097.39 is: 3,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.97 : 8,075.03 = 2,097.39 : x
  2. Step 2: Convert to fraction form
    5,381.97/8,075.03 = 2,097.39/x
  3. Step 3: Cross multiply
    5,381.97x = 8,075.03 × 2,097.39
  4. Step 4: Simplify right side
    5,381.97x = 16,936,476.68
  5. Step 5: Solve for x
    x = 16,936,476.68/5,381.97
  6. Step 6: Final answer
    x = 3,146.89

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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.