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Finding the Fourth Proportional to 21,849.75, 32,774.72 and 7,998.75

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Solution

The fourth proportional to 21,849.75, 32,774.72 and 7,998.75 is: 11,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,849.75 : 32,774.72 = 7,998.75 : x
  2. Step 2: Convert to fraction form
    21,849.75/32,774.72 = 7,998.75/x
  3. Step 3: Cross multiply
    21,849.75x = 32,774.72 × 7,998.75
  4. Step 4: Simplify right side
    21,849.75x = 262,156,751.61
  5. Step 5: Solve for x
    x = 262,156,751.61/21,849.75
  6. Step 6: Final answer
    x = 11,998.16

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1.5x scale

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.