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Finding the Fourth Proportional to 21,664.80, 29,897.42 and 11,728.80

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Solution

The fourth proportional to 21,664.80, 29,897.42 and 11,728.80 is: 16,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,664.80 : 29,897.42 = 11,728.80 : x
  2. Step 2: Convert to fraction form
    21,664.80/29,897.42 = 11,728.80/x
  3. Step 3: Cross multiply
    21,664.80x = 29,897.42 × 11,728.80
  4. Step 4: Simplify right side
    21,664.80x = 350,660,859.70
  5. Step 5: Solve for x
    x = 350,660,859.70/21,664.80
  6. Step 6: Final answer
    x = 16,185.74

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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.