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Finding the Fourth Proportional to 11,178.60, 16,739.10 and 8,874.60

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Solution

The fourth proportional to 11,178.60, 16,739.10 and 8,874.60 is: 13,289.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.60 : 16,739.10 = 8,874.60 : x
  2. Step 2: Convert to fraction form
    11,178.60/16,739.10 = 8,874.60/x
  3. Step 3: Cross multiply
    11,178.60x = 16,739.10 × 8,874.60
  4. Step 4: Simplify right side
    11,178.60x = 148,552,816.86
  5. Step 5: Solve for x
    x = 148,552,816.86/11,178.60
  6. Step 6: Final answer
    x = 13,289.04

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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.