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Finding the Fourth Proportional to 5,290.84, 7,930.68 and 2,169.46

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Solution

The fourth proportional to 5,290.84, 7,930.68 and 2,169.46 is: 3,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.84 : 7,930.68 = 2,169.46 : x
  2. Step 2: Convert to fraction form
    5,290.84/7,930.68 = 2,169.46/x
  3. Step 3: Cross multiply
    5,290.84x = 7,930.68 × 2,169.46
  4. Step 4: Simplify right side
    5,290.84x = 17,205,293.03
  5. Step 5: Solve for x
    x = 17,205,293.03/5,290.84
  6. Step 6: Final answer
    x = 3,251.90

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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.