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Finding the Fourth Proportional to 21,929.26, 32,879.43 and 7,882.24

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Solution

The fourth proportional to 21,929.26, 32,879.43 and 7,882.24 is: 11,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,929.26 : 32,879.43 = 7,882.24 : x
  2. Step 2: Convert to fraction form
    21,929.26/32,879.43 = 7,882.24/x
  3. Step 3: Cross multiply
    21,929.26x = 32,879.43 × 7,882.24
  4. Step 4: Simplify right side
    21,929.26x = 259,163,558.32
  5. Step 5: Solve for x
    x = 259,163,558.32/21,929.26
  6. Step 6: Final answer
    x = 11,818.16

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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.