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Finding the Fourth Proportional to 21,794.88, 30,083.10 and 12,847.56

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Solution

The fourth proportional to 21,794.88, 30,083.10 and 12,847.56 is: 17,733.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,794.88 : 30,083.10 = 12,847.56 : x
  2. Step 2: Convert to fraction form
    21,794.88/30,083.10 = 12,847.56/x
  3. Step 3: Cross multiply
    21,794.88x = 30,083.10 × 12,847.56
  4. Step 4: Simplify right side
    21,794.88x = 386,494,432.24
  5. Step 5: Solve for x
    x = 386,494,432.24/21,794.88
  6. Step 6: Final answer
    x = 17,733.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.