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Finding the Fourth Proportional to 8,813, 13,221.32 and 2,969.46

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Solution

The fourth proportional to 8,813, 13,221.32 and 2,969.46 is: 4,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,813 : 13,221.32 = 2,969.46 : x
  2. Step 2: Convert to fraction form
    8,813/13,221.32 = 2,969.46/x
  3. Step 3: Cross multiply
    8,813x = 13,221.32 × 2,969.46
  4. Step 4: Simplify right side
    8,813x = 39,260,180.89
  5. Step 5: Solve for x
    x = 39,260,180.89/8,813
  6. Step 6: Final answer
    x = 4,454.80

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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.