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Finding the Fourth Proportional to 21,812.25, 32,719.59 and 6,231.09

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Solution

The fourth proportional to 21,812.25, 32,719.59 and 6,231.09 is: 9,346.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,812.25 : 32,719.59 = 6,231.09 : x
  2. Step 2: Convert to fraction form
    21,812.25/32,719.59 = 6,231.09/x
  3. Step 3: Cross multiply
    21,812.25x = 32,719.59 × 6,231.09
  4. Step 4: Simplify right side
    21,812.25x = 203,878,710.05
  5. Step 5: Solve for x
    x = 203,878,710.05/21,812.25
  6. Step 6: Final answer
    x = 9,346.98

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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.