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Finding the Fourth Proportional to 21,816.78, 32,718.22 and 7,022.26

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Solution

The fourth proportional to 21,816.78, 32,718.22 and 7,022.26 is: 10,531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,816.78 : 32,718.22 = 7,022.26 : x
  2. Step 2: Convert to fraction form
    21,816.78/32,718.22 = 7,022.26/x
  3. Step 3: Cross multiply
    21,816.78x = 32,718.22 × 7,022.26
  4. Step 4: Simplify right side
    21,816.78x = 229,755,847.58
  5. Step 5: Solve for x
    x = 229,755,847.58/21,816.78
  6. Step 6: Final answer
    x = 10,531.15

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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.