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Finding the Fourth Proportional to 5,138.93, 7,708.88 and 1,441.22

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Solution

The fourth proportional to 5,138.93, 7,708.88 and 1,441.22 is: 2,161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.93 : 7,708.88 = 1,441.22 : x
  2. Step 2: Convert to fraction form
    5,138.93/7,708.88 = 1,441.22/x
  3. Step 3: Cross multiply
    5,138.93x = 7,708.88 × 1,441.22
  4. Step 4: Simplify right side
    5,138.93x = 11,110,157.09
  5. Step 5: Solve for x
    x = 11,110,157.09/5,138.93
  6. Step 6: Final answer
    x = 2,161.96

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1.5x scale

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.