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Finding the Fourth Proportional to 15,612.84, 23,422.54 and 8,213.24

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Solution

The fourth proportional to 15,612.84, 23,422.54 and 8,213.24 is: 12,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,612.84 : 23,422.54 = 8,213.24 : x
  2. Step 2: Convert to fraction form
    15,612.84/23,422.54 = 8,213.24/x
  3. Step 3: Cross multiply
    15,612.84x = 23,422.54 × 8,213.24
  4. Step 4: Simplify right side
    15,612.84x = 192,374,942.43
  5. Step 5: Solve for x
    x = 192,374,942.43/15,612.84
  6. Step 6: Final answer
    x = 12,321.59

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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.