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Finding the Fourth Proportional to 5,138.24, 7,708 and 1,850.48

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Solution

The fourth proportional to 5,138.24, 7,708 and 1,850.48 is: 2,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.24 : 7,708 = 1,850.48 : x
  2. Step 2: Convert to fraction form
    5,138.24/7,708 = 1,850.48/x
  3. Step 3: Cross multiply
    5,138.24x = 7,708 × 1,850.48
  4. Step 4: Simplify right side
    5,138.24x = 14,263,499.84
  5. Step 5: Solve for x
    x = 14,263,499.84/5,138.24
  6. Step 6: Final answer
    x = 2,775.95

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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.