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Finding the Fourth Proportional to 10,962.86, 16,441.86 and 4,387.28

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Solution

The fourth proportional to 10,962.86, 16,441.86 and 4,387.28 is: 6,579.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,962.86 : 16,441.86 = 4,387.28 : x
  2. Step 2: Convert to fraction form
    10,962.86/16,441.86 = 4,387.28/x
  3. Step 3: Cross multiply
    10,962.86x = 16,441.86 × 4,387.28
  4. Step 4: Simplify right side
    10,962.86x = 72,135,043.54
  5. Step 5: Solve for x
    x = 72,135,043.54/10,962.86
  6. Step 6: Final answer
    x = 6,579.95

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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.