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Finding the Fourth Proportional to 11,165.78, 16,715.87 and 8,809.29

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Solution

The fourth proportional to 11,165.78, 16,715.87 and 8,809.29 is: 13,188.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.78 : 16,715.87 = 8,809.29 : x
  2. Step 2: Convert to fraction form
    11,165.78/16,715.87 = 8,809.29/x
  3. Step 3: Cross multiply
    11,165.78x = 16,715.87 × 8,809.29
  4. Step 4: Simplify right side
    11,165.78x = 147,254,935.42
  5. Step 5: Solve for x
    x = 147,254,935.42/11,165.78
  6. Step 6: Final answer
    x = 13,188.05

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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.