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Finding the Fourth Proportional to 8,821.30, 13,237.90 and 3,274.88

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Solution

The fourth proportional to 8,821.30, 13,237.90 and 3,274.88 is: 4,914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.30 : 13,237.90 = 3,274.88 : x
  2. Step 2: Convert to fraction form
    8,821.30/13,237.90 = 3,274.88/x
  3. Step 3: Cross multiply
    8,821.30x = 13,237.90 × 3,274.88
  4. Step 4: Simplify right side
    8,821.30x = 43,352,533.95
  5. Step 5: Solve for x
    x = 43,352,533.95/8,821.30
  6. Step 6: Final answer
    x = 4,914.53

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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.