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Finding the Fourth Proportional to 21,642.90, 32,467.99 and 6,855.94

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Solution

The fourth proportional to 21,642.90, 32,467.99 and 6,855.94 is: 10,285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.90 : 32,467.99 = 6,855.94 : x
  2. Step 2: Convert to fraction form
    21,642.90/32,467.99 = 6,855.94/x
  3. Step 3: Cross multiply
    21,642.90x = 32,467.99 × 6,855.94
  4. Step 4: Simplify right side
    21,642.90x = 222,598,591.36
  5. Step 5: Solve for x
    x = 222,598,591.36/21,642.90
  6. Step 6: Final answer
    x = 10,285.06

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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.