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Finding the Fourth Proportional to 21,813.84, 32,721.20 and 6,231.84

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Solution

The fourth proportional to 21,813.84, 32,721.20 and 6,231.84 is: 9,347.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,813.84 : 32,721.20 = 6,231.84 : x
  2. Step 2: Convert to fraction form
    21,813.84/32,721.20 = 6,231.84/x
  3. Step 3: Cross multiply
    21,813.84x = 32,721.20 × 6,231.84
  4. Step 4: Simplify right side
    21,813.84x = 203,913,283.01
  5. Step 5: Solve for x
    x = 203,913,283.01/21,813.84
  6. Step 6: Final answer
    x = 9,347.89

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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.