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Finding the Fourth Proportional to 21,872, 32,813.88 and 8,733.61

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Solution

The fourth proportional to 21,872, 32,813.88 and 8,733.61 is: 13,102.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872 : 32,813.88 = 8,733.61 : x
  2. Step 2: Convert to fraction form
    21,872/32,813.88 = 8,733.61/x
  3. Step 3: Cross multiply
    21,872x = 32,813.88 × 8,733.61
  4. Step 4: Simplify right side
    21,872x = 286,583,466.44
  5. Step 5: Solve for x
    x = 286,583,466.44/21,872
  6. Step 6: Final answer
    x = 13,102.76

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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.