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Finding the Fourth Proportional to 8,834, 13,251.27 and 2,678

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Solution

The fourth proportional to 8,834, 13,251.27 and 2,678 is: 4,017.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,834 : 13,251.27 = 2,678 : x
  2. Step 2: Convert to fraction form
    8,834/13,251.27 = 2,678/x
  3. Step 3: Cross multiply
    8,834x = 13,251.27 × 2,678
  4. Step 4: Simplify right side
    8,834x = 35,486,901.06
  5. Step 5: Solve for x
    x = 35,486,901.06/8,834
  6. Step 6: Final answer
    x = 4,017.08

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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.