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Finding the Fourth Proportional to 8,783.73, 13,175.42 and 2,209.95

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Solution

The fourth proportional to 8,783.73, 13,175.42 and 2,209.95 is: 3,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783.73 : 13,175.42 = 2,209.95 : x
  2. Step 2: Convert to fraction form
    8,783.73/13,175.42 = 2,209.95/x
  3. Step 3: Cross multiply
    8,783.73x = 13,175.42 × 2,209.95
  4. Step 4: Simplify right side
    8,783.73x = 29,117,008.38
  5. Step 5: Solve for x
    x = 29,117,008.38/8,783.73
  6. Step 6: Final answer
    x = 3,314.88

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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.