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Finding the Fourth Proportional to 12,023.64, 17,991.72 and 8,895.96

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Solution

The fourth proportional to 12,023.64, 17,991.72 and 8,895.96 is: 13,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.64 : 17,991.72 = 8,895.96 : x
  2. Step 2: Convert to fraction form
    12,023.64/17,991.72 = 8,895.96/x
  3. Step 3: Cross multiply
    12,023.64x = 17,991.72 × 8,895.96
  4. Step 4: Simplify right side
    12,023.64x = 160,053,621.45
  5. Step 5: Solve for x
    x = 160,053,621.45/12,023.64
  6. Step 6: Final answer
    x = 13,311.58

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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.