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Finding the Fourth Proportional to 13,163.28, 18,156.84 and 7,854

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Solution

The fourth proportional to 13,163.28, 18,156.84 and 7,854 is: 10,833.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.28 : 18,156.84 = 7,854 : x
  2. Step 2: Convert to fraction form
    13,163.28/18,156.84 = 7,854/x
  3. Step 3: Cross multiply
    13,163.28x = 18,156.84 × 7,854
  4. Step 4: Simplify right side
    13,163.28x = 142,603,821.36
  5. Step 5: Solve for x
    x = 142,603,821.36/13,163.28
  6. Step 6: Final answer
    x = 10,833.46

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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.