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Finding the Fourth Proportional to 10,939.64, 16,410.48 and 8,477.22

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Solution

The fourth proportional to 10,939.64, 16,410.48 and 8,477.22 is: 12,716.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,939.64 : 16,410.48 = 8,477.22 : x
  2. Step 2: Convert to fraction form
    10,939.64/16,410.48 = 8,477.22/x
  3. Step 3: Cross multiply
    10,939.64x = 16,410.48 × 8,477.22
  4. Step 4: Simplify right side
    10,939.64x = 139,115,124.83
  5. Step 5: Solve for x
    x = 139,115,124.83/10,939.64
  6. Step 6: Final answer
    x = 12,716.61

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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.