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Finding the Fourth Proportional to 21,906.70, 32,862.79 and 8,577.98

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Solution

The fourth proportional to 21,906.70, 32,862.79 and 8,577.98 is: 12,868.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.70 : 32,862.79 = 8,577.98 : x
  2. Step 2: Convert to fraction form
    21,906.70/32,862.79 = 8,577.98/x
  3. Step 3: Cross multiply
    21,906.70x = 32,862.79 × 8,577.98
  4. Step 4: Simplify right side
    21,906.70x = 281,896,355.36
  5. Step 5: Solve for x
    x = 281,896,355.36/21,906.70
  6. Step 6: Final answer
    x = 12,868.04

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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.