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Finding the Fourth Proportional to 8,002.69, 12,004.49 and 2,159.75

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Solution

The fourth proportional to 8,002.69, 12,004.49 and 2,159.75 is: 3,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.69 : 12,004.49 = 2,159.75 : x
  2. Step 2: Convert to fraction form
    8,002.69/12,004.49 = 2,159.75/x
  3. Step 3: Cross multiply
    8,002.69x = 12,004.49 × 2,159.75
  4. Step 4: Simplify right side
    8,002.69x = 25,926,697.28
  5. Step 5: Solve for x
    x = 25,926,697.28/8,002.69
  6. Step 6: Final answer
    x = 3,239.75

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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.