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Finding the Fourth Proportional to 21,596.76, 32,321.92 and 13,282

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Solution

The fourth proportional to 21,596.76, 32,321.92 and 13,282 is: 19,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,596.76 : 32,321.92 = 13,282 : x
  2. Step 2: Convert to fraction form
    21,596.76/32,321.92 = 13,282/x
  3. Step 3: Cross multiply
    21,596.76x = 32,321.92 × 13,282
  4. Step 4: Simplify right side
    21,596.76x = 429,299,741.44
  5. Step 5: Solve for x
    x = 429,299,741.44/21,596.76
  6. Step 6: Final answer
    x = 19,877.97

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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.