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Finding the Fourth Proportional to 8,855.78, 13,283.64 and 2,281.41

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Solution

The fourth proportional to 8,855.78, 13,283.64 and 2,281.41 is: 3,422.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,855.78 : 13,283.64 = 2,281.41 : x
  2. Step 2: Convert to fraction form
    8,855.78/13,283.64 = 2,281.41/x
  3. Step 3: Cross multiply
    8,855.78x = 13,283.64 × 2,281.41
  4. Step 4: Simplify right side
    8,855.78x = 30,305,429.13
  5. Step 5: Solve for x
    x = 30,305,429.13/8,855.78
  6. Step 6: Final answer
    x = 3,422.11

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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.