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Finding the Fourth Proportional to 21,866.88, 32,796.81 and 7,824.30

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Solution

The fourth proportional to 21,866.88, 32,796.81 and 7,824.30 is: 11,735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,866.88 : 32,796.81 = 7,824.30 : x
  2. Step 2: Convert to fraction form
    21,866.88/32,796.81 = 7,824.30/x
  3. Step 3: Cross multiply
    21,866.88x = 32,796.81 × 7,824.30
  4. Step 4: Simplify right side
    21,866.88x = 256,611,957.49
  5. Step 5: Solve for x
    x = 256,611,957.49/21,866.88
  6. Step 6: Final answer
    x = 11,735.19

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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.