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Finding the Fourth Proportional to 21,404.49, 32,101.86 and 8,078.90

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Solution

The fourth proportional to 21,404.49, 32,101.86 and 8,078.90 is: 12,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,404.49 : 32,101.86 = 8,078.90 : x
  2. Step 2: Convert to fraction form
    21,404.49/32,101.86 = 8,078.90/x
  3. Step 3: Cross multiply
    21,404.49x = 32,101.86 × 8,078.90
  4. Step 4: Simplify right side
    21,404.49x = 259,347,556.24
  5. Step 5: Solve for x
    x = 259,347,556.24/21,404.49
  6. Step 6: Final answer
    x = 12,116.50

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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.