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Finding the Fourth Proportional to 21,738.25, 29,998.79 and 11,802.25

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Solution

The fourth proportional to 21,738.25, 29,998.79 and 11,802.25 is: 16,287.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,738.25 : 29,998.79 = 11,802.25 : x
  2. Step 2: Convert to fraction form
    21,738.25/29,998.79 = 11,802.25/x
  3. Step 3: Cross multiply
    21,738.25x = 29,998.79 × 11,802.25
  4. Step 4: Simplify right side
    21,738.25x = 354,053,219.28
  5. Step 5: Solve for x
    x = 354,053,219.28/21,738.25
  6. Step 6: Final answer
    x = 16,287.11

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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.