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Finding the Fourth Proportional to 5,390.55, 8,069.09 and 2,919.24

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Solution

The fourth proportional to 5,390.55, 8,069.09 and 2,919.24 is: 4,369.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.55 : 8,069.09 = 2,919.24 : x
  2. Step 2: Convert to fraction form
    5,390.55/8,069.09 = 2,919.24/x
  3. Step 3: Cross multiply
    5,390.55x = 8,069.09 × 2,919.24
  4. Step 4: Simplify right side
    5,390.55x = 23,555,569.95
  5. Step 5: Solve for x
    x = 23,555,569.95/5,390.55
  6. Step 6: Final answer
    x = 4,369.79

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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.