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Finding the Fourth Proportional to 21,922.32, 32,879.64 and 7,129.08

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Solution

The fourth proportional to 21,922.32, 32,879.64 and 7,129.08 is: 10,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922.32 : 32,879.64 = 7,129.08 : x
  2. Step 2: Convert to fraction form
    21,922.32/32,879.64 = 7,129.08/x
  3. Step 3: Cross multiply
    21,922.32x = 32,879.64 × 7,129.08
  4. Step 4: Simplify right side
    21,922.32x = 234,401,583.93
  5. Step 5: Solve for x
    x = 234,401,583.93/21,922.32
  6. Step 6: Final answer
    x = 10,692.37

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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.