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Finding the Fourth Proportional to 8,891.64, 13,338 and 5,450.76

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Solution

The fourth proportional to 8,891.64, 13,338 and 5,450.76 is: 8,176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,891.64 : 13,338 = 5,450.76 : x
  2. Step 2: Convert to fraction form
    8,891.64/13,338 = 5,450.76/x
  3. Step 3: Cross multiply
    8,891.64x = 13,338 × 5,450.76
  4. Step 4: Simplify right side
    8,891.64x = 72,702,236.88
  5. Step 5: Solve for x
    x = 72,702,236.88/8,891.64
  6. Step 6: Final answer
    x = 8,176.47

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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.