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Finding the Fourth Proportional to 10,622.90, 15,930.30 and 3,224.90

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Solution

The fourth proportional to 10,622.90, 15,930.30 and 3,224.90 is: 4,836.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.90 : 15,930.30 = 3,224.90 : x
  2. Step 2: Convert to fraction form
    10,622.90/15,930.30 = 3,224.90/x
  3. Step 3: Cross multiply
    10,622.90x = 15,930.30 × 3,224.90
  4. Step 4: Simplify right side
    10,622.90x = 51,373,624.47
  5. Step 5: Solve for x
    x = 51,373,624.47/10,622.90
  6. Step 6: Final answer
    x = 4,836.12

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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.