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Finding the Fourth Proportional to 7,922.90, 10,905.09 and 7,469.30

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Solution

The fourth proportional to 7,922.90, 10,905.09 and 7,469.30 is: 10,280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.90 : 10,905.09 = 7,469.30 : x
  2. Step 2: Convert to fraction form
    7,922.90/10,905.09 = 7,469.30/x
  3. Step 3: Cross multiply
    7,922.90x = 10,905.09 × 7,469.30
  4. Step 4: Simplify right side
    7,922.90x = 81,453,388.74
  5. Step 5: Solve for x
    x = 81,453,388.74/7,922.90
  6. Step 6: Final answer
    x = 10,280.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.