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Finding the Fourth Proportional to 5,163.78, 7,739.32 and 2,386.70

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Solution

The fourth proportional to 5,163.78, 7,739.32 and 2,386.70 is: 3,577.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.78 : 7,739.32 = 2,386.70 : x
  2. Step 2: Convert to fraction form
    5,163.78/7,739.32 = 2,386.70/x
  3. Step 3: Cross multiply
    5,163.78x = 7,739.32 × 2,386.70
  4. Step 4: Simplify right side
    5,163.78x = 18,471,435.04
  5. Step 5: Solve for x
    x = 18,471,435.04/5,163.78
  6. Step 6: Final answer
    x = 3,577.12

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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.