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Finding the Fourth Proportional to 21,922.14, 32,883.22 and 20,347.50

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Solution

The fourth proportional to 21,922.14, 32,883.22 and 20,347.50 is: 30,521.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922.14 : 32,883.22 = 20,347.50 : x
  2. Step 2: Convert to fraction form
    21,922.14/32,883.22 = 20,347.50/x
  3. Step 3: Cross multiply
    21,922.14x = 32,883.22 × 20,347.50
  4. Step 4: Simplify right side
    21,922.14x = 669,091,318.95
  5. Step 5: Solve for x
    x = 669,091,318.95/21,922.14
  6. Step 6: Final answer
    x = 30,521.26

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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.