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Finding the Fourth Proportional to 21,897, 32,845.50 and 5,481

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Solution

The fourth proportional to 21,897, 32,845.50 and 5,481 is: 8,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,897 : 32,845.50 = 5,481 : x
  2. Step 2: Convert to fraction form
    21,897/32,845.50 = 5,481/x
  3. Step 3: Cross multiply
    21,897x = 32,845.50 × 5,481
  4. Step 4: Simplify right side
    21,897x = 180,026,185.50
  5. Step 5: Solve for x
    x = 180,026,185.50/21,897
  6. Step 6: Final answer
    x = 8,221.50

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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.