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Finding the Fourth Proportional to 10,805.67, 14,910.75 and 7,974.60

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Solution

The fourth proportional to 10,805.67, 14,910.75 and 7,974.60 is: 11,004.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.67 : 14,910.75 = 7,974.60 : x
  2. Step 2: Convert to fraction form
    10,805.67/14,910.75 = 7,974.60/x
  3. Step 3: Cross multiply
    10,805.67x = 14,910.75 × 7,974.60
  4. Step 4: Simplify right side
    10,805.67x = 118,907,266.95
  5. Step 5: Solve for x
    x = 118,907,266.95/10,805.67
  6. Step 6: Final answer
    x = 11,004.15

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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.