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Finding the Fourth Proportional to 21,232.94, 31,836.51 and 8,761.10

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Solution

The fourth proportional to 21,232.94, 31,836.51 and 8,761.10 is: 13,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232.94 : 31,836.51 = 8,761.10 : x
  2. Step 2: Convert to fraction form
    21,232.94/31,836.51 = 8,761.10/x
  3. Step 3: Cross multiply
    21,232.94x = 31,836.51 × 8,761.10
  4. Step 4: Simplify right side
    21,232.94x = 278,922,688.58
  5. Step 5: Solve for x
    x = 278,922,688.58/21,232.94
  6. Step 6: Final answer
    x = 13,136.32

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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.