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Finding the Fourth Proportional to 10,687.68, 15,992.64 and 8,821.44

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Solution

The fourth proportional to 10,687.68, 15,992.64 and 8,821.44 is: 13,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.68 : 15,992.64 = 8,821.44 : x
  2. Step 2: Convert to fraction form
    10,687.68/15,992.64 = 8,821.44/x
  3. Step 3: Cross multiply
    10,687.68x = 15,992.64 × 8,821.44
  4. Step 4: Simplify right side
    10,687.68x = 141,078,114.20
  5. Step 5: Solve for x
    x = 141,078,114.20/10,687.68
  6. Step 6: Final answer
    x = 13,200.07

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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.