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Finding the Fourth Proportional to 8,783.88, 13,175.49 and 2,209.98

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Solution

The fourth proportional to 8,783.88, 13,175.49 and 2,209.98 is: 3,314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783.88 : 13,175.49 = 2,209.98 : x
  2. Step 2: Convert to fraction form
    8,783.88/13,175.49 = 2,209.98/x
  3. Step 3: Cross multiply
    8,783.88x = 13,175.49 × 2,209.98
  4. Step 4: Simplify right side
    8,783.88x = 29,117,569.39
  5. Step 5: Solve for x
    x = 29,117,569.39/8,783.88
  6. Step 6: Final answer
    x = 3,314.89

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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.