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Finding the Fourth Proportional to 21,805.90, 32,708.97 and 7,766.47

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Solution

The fourth proportional to 21,805.90, 32,708.97 and 7,766.47 is: 11,649.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,805.90 : 32,708.97 = 7,766.47 : x
  2. Step 2: Convert to fraction form
    21,805.90/32,708.97 = 7,766.47/x
  3. Step 3: Cross multiply
    21,805.90x = 32,708.97 × 7,766.47
  4. Step 4: Simplify right side
    21,805.90x = 254,033,234.24
  5. Step 5: Solve for x
    x = 254,033,234.24/21,805.90
  6. Step 6: Final answer
    x = 11,649.75

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1.5x scale

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.