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Finding the Fourth Proportional to 8,815, 13,222.58 and 2,891.80

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Solution

The fourth proportional to 8,815, 13,222.58 and 2,891.80 is: 4,337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,815 : 13,222.58 = 2,891.80 : x
  2. Step 2: Convert to fraction form
    8,815/13,222.58 = 2,891.80/x
  3. Step 3: Cross multiply
    8,815x = 13,222.58 × 2,891.80
  4. Step 4: Simplify right side
    8,815x = 38,237,056.84
  5. Step 5: Solve for x
    x = 38,237,056.84/8,815
  6. Step 6: Final answer
    x = 4,337.73

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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.