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Finding the Fourth Proportional to 21,935, 32,902.50 and 5,519

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Solution

The fourth proportional to 21,935, 32,902.50 and 5,519 is: 8,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,935 : 32,902.50 = 5,519 : x
  2. Step 2: Convert to fraction form
    21,935/32,902.50 = 5,519/x
  3. Step 3: Cross multiply
    21,935x = 32,902.50 × 5,519
  4. Step 4: Simplify right side
    21,935x = 181,588,897.50
  5. Step 5: Solve for x
    x = 181,588,897.50/21,935
  6. Step 6: Final answer
    x = 8,278.50

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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.