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Finding the Fourth Proportional to 21,747, 32,620.50 and 5,331

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Solution

The fourth proportional to 21,747, 32,620.50 and 5,331 is: 7,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,747 : 32,620.50 = 5,331 : x
  2. Step 2: Convert to fraction form
    21,747/32,620.50 = 5,331/x
  3. Step 3: Cross multiply
    21,747x = 32,620.50 × 5,331
  4. Step 4: Simplify right side
    21,747x = 173,899,885.50
  5. Step 5: Solve for x
    x = 173,899,885.50/21,747
  6. Step 6: Final answer
    x = 7,996.50

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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.