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Finding the Fourth Proportional to 10,288.03, 15,388.09 and 8,589.10

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Solution

The fourth proportional to 10,288.03, 15,388.09 and 8,589.10 is: 12,846.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.03 : 15,388.09 = 8,589.10 : x
  2. Step 2: Convert to fraction form
    10,288.03/15,388.09 = 8,589.10/x
  3. Step 3: Cross multiply
    10,288.03x = 15,388.09 × 8,589.10
  4. Step 4: Simplify right side
    10,288.03x = 132,169,843.82
  5. Step 5: Solve for x
    x = 132,169,843.82/10,288.03
  6. Step 6: Final answer
    x = 12,846.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.