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Finding the Fourth Proportional to 5,163.66, 7,746.36 and 2,389.20

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Solution

The fourth proportional to 5,163.66, 7,746.36 and 2,389.20 is: 3,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.66 : 7,746.36 = 2,389.20 : x
  2. Step 2: Convert to fraction form
    5,163.66/7,746.36 = 2,389.20/x
  3. Step 3: Cross multiply
    5,163.66x = 7,746.36 × 2,389.20
  4. Step 4: Simplify right side
    5,163.66x = 18,507,603.31
  5. Step 5: Solve for x
    x = 18,507,603.31/5,163.66
  6. Step 6: Final answer
    x = 3,584.20

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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.