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Finding the Fourth Proportional to 45,228, 67,842 and 12,396

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Solution

The fourth proportional to 45,228, 67,842 and 12,396 is: 18,594

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,228 : 67,842 = 12,396 : x
  2. Step 2: Convert to fraction form
    45,228/67,842 = 12,396/x
  3. Step 3: Cross multiply
    45,228x = 67,842 × 12,396
  4. Step 4: Simplify right side
    45,228x = 840,969,432
  5. Step 5: Solve for x
    x = 840,969,432/45,228
  6. Step 6: Final answer
    x = 18,594

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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.