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Finding the Fourth Proportional to 8,782.80, 13,175.82 and 2,780.39

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Solution

The fourth proportional to 8,782.80, 13,175.82 and 2,780.39 is: 4,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.80 : 13,175.82 = 2,780.39 : x
  2. Step 2: Convert to fraction form
    8,782.80/13,175.82 = 2,780.39/x
  3. Step 3: Cross multiply
    8,782.80x = 13,175.82 × 2,780.39
  4. Step 4: Simplify right side
    8,782.80x = 36,633,918.17
  5. Step 5: Solve for x
    x = 36,633,918.17/8,782.80
  6. Step 6: Final answer
    x = 4,171.10

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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.