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Finding the Fourth Proportional to 21,573.28, 32,364 and 8,424.82

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Solution

The fourth proportional to 21,573.28, 32,364 and 8,424.82 is: 12,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,573.28 : 32,364 = 8,424.82 : x
  2. Step 2: Convert to fraction form
    21,573.28/32,364 = 8,424.82/x
  3. Step 3: Cross multiply
    21,573.28x = 32,364 × 8,424.82
  4. Step 4: Simplify right side
    21,573.28x = 272,660,874.48
  5. Step 5: Solve for x
    x = 272,660,874.48/21,573.28
  6. Step 6: Final answer
    x = 12,638.82

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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.