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Finding the Fourth Proportional to 17,649.90, 26,474.88 and 7,789.20

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Solution

The fourth proportional to 17,649.90, 26,474.88 and 7,789.20 is: 11,683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.90 : 26,474.88 = 7,789.20 : x
  2. Step 2: Convert to fraction form
    17,649.90/26,474.88 = 7,789.20/x
  3. Step 3: Cross multiply
    17,649.90x = 26,474.88 × 7,789.20
  4. Step 4: Simplify right side
    17,649.90x = 206,218,135.30
  5. Step 5: Solve for x
    x = 206,218,135.30/17,649.90
  6. Step 6: Final answer
    x = 11,683.81

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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.