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Finding the Fourth Proportional to 10,886, 16,329.08 and 2,678

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Solution

The fourth proportional to 10,886, 16,329.08 and 2,678 is: 4,017.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886 : 16,329.08 = 2,678 : x
  2. Step 2: Convert to fraction form
    10,886/16,329.08 = 2,678/x
  3. Step 3: Cross multiply
    10,886x = 16,329.08 × 2,678
  4. Step 4: Simplify right side
    10,886x = 43,729,276.24
  5. Step 5: Solve for x
    x = 43,729,276.24/10,886
  6. Step 6: Final answer
    x = 4,017.02

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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.