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Finding the Fourth Proportional to 8,813.66, 13,220.14 and 2,891

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Solution

The fourth proportional to 8,813.66, 13,220.14 and 2,891 is: 4,336.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,813.66 : 13,220.14 = 2,891 : x
  2. Step 2: Convert to fraction form
    8,813.66/13,220.14 = 2,891/x
  3. Step 3: Cross multiply
    8,813.66x = 13,220.14 × 2,891
  4. Step 4: Simplify right side
    8,813.66x = 38,219,424.74
  5. Step 5: Solve for x
    x = 38,219,424.74/8,813.66
  6. Step 6: Final answer
    x = 4,336.39

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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.