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Finding the Fourth Proportional to 11,448, 17,169.98 and 5,206.55

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Solution

The fourth proportional to 11,448, 17,169.98 and 5,206.55 is: 7,808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448 : 17,169.98 = 5,206.55 : x
  2. Step 2: Convert to fraction form
    11,448/17,169.98 = 5,206.55/x
  3. Step 3: Cross multiply
    11,448x = 17,169.98 × 5,206.55
  4. Step 4: Simplify right side
    11,448x = 89,396,247.49
  5. Step 5: Solve for x
    x = 89,396,247.49/11,448
  6. Step 6: Final answer
    x = 7,808.90

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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.