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Finding the Fourth Proportional to 8,968.82, 13,455.38 and 2,812.82

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Solution

The fourth proportional to 8,968.82, 13,455.38 and 2,812.82 is: 4,219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,968.82 : 13,455.38 = 2,812.82 : x
  2. Step 2: Convert to fraction form
    8,968.82/13,455.38 = 2,812.82/x
  3. Step 3: Cross multiply
    8,968.82x = 13,455.38 × 2,812.82
  4. Step 4: Simplify right side
    8,968.82x = 37,847,561.97
  5. Step 5: Solve for x
    x = 37,847,561.97/8,968.82
  6. Step 6: Final answer
    x = 4,219.90

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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.