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Finding the Fourth Proportional to 21,651.76, 32,383.80 and 12,745.86

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Solution

The fourth proportional to 21,651.76, 32,383.80 and 12,745.86 is: 19,063.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,651.76 : 32,383.80 = 12,745.86 : x
  2. Step 2: Convert to fraction form
    21,651.76/32,383.80 = 12,745.86/x
  3. Step 3: Cross multiply
    21,651.76x = 32,383.80 × 12,745.86
  4. Step 4: Simplify right side
    21,651.76x = 412,759,381.07
  5. Step 5: Solve for x
    x = 412,759,381.07/21,651.76
  6. Step 6: Final answer
    x = 19,063.55

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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.