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Finding the Fourth Proportional to 8,814, 12,163.80 and 5,089.20

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Solution

The fourth proportional to 8,814, 12,163.80 and 5,089.20 is: 7,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814 : 12,163.80 = 5,089.20 : x
  2. Step 2: Convert to fraction form
    8,814/12,163.80 = 5,089.20/x
  3. Step 3: Cross multiply
    8,814x = 12,163.80 × 5,089.20
  4. Step 4: Simplify right side
    8,814x = 61,904,010.96
  5. Step 5: Solve for x
    x = 61,904,010.96/8,814
  6. Step 6: Final answer
    x = 7,023.37

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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.