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Finding the Fourth Proportional to 21,872.84, 32,801.20 and 7,829.06

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Solution

The fourth proportional to 21,872.84, 32,801.20 and 7,829.06 is: 11,740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.84 : 32,801.20 = 7,829.06 : x
  2. Step 2: Convert to fraction form
    21,872.84/32,801.20 = 7,829.06/x
  3. Step 3: Cross multiply
    21,872.84x = 32,801.20 × 7,829.06
  4. Step 4: Simplify right side
    21,872.84x = 256,802,562.87
  5. Step 5: Solve for x
    x = 256,802,562.87/21,872.84
  6. Step 6: Final answer
    x = 11,740.71

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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.