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Finding the Fourth Proportional to 8,119.42, 11,199.42 and 5,601.64

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Solution

The fourth proportional to 8,119.42, 11,199.42 and 5,601.64 is: 7,726.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.42 : 11,199.42 = 5,601.64 : x
  2. Step 2: Convert to fraction form
    8,119.42/11,199.42 = 5,601.64/x
  3. Step 3: Cross multiply
    8,119.42x = 11,199.42 × 5,601.64
  4. Step 4: Simplify right side
    8,119.42x = 62,735,119.05
  5. Step 5: Solve for x
    x = 62,735,119.05/8,119.42
  6. Step 6: Final answer
    x = 7,726.55

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1.5x scale

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.