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Finding the Fourth Proportional to 21,922.29, 32,883.74 and 7,131.29

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Solution

The fourth proportional to 21,922.29, 32,883.74 and 7,131.29 is: 10,697.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922.29 : 32,883.74 = 7,131.29 : x
  2. Step 2: Convert to fraction form
    21,922.29/32,883.74 = 7,131.29/x
  3. Step 3: Cross multiply
    21,922.29x = 32,883.74 × 7,131.29
  4. Step 4: Simplify right side
    21,922.29x = 234,503,421.84
  5. Step 5: Solve for x
    x = 234,503,421.84/21,922.29
  6. Step 6: Final answer
    x = 10,697.03

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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.