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Finding the Fourth Proportional to 43,228, 64,842 and 10,396

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Solution

The fourth proportional to 43,228, 64,842 and 10,396 is: 15,594

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,228 : 64,842 = 10,396 : x
  2. Step 2: Convert to fraction form
    43,228/64,842 = 10,396/x
  3. Step 3: Cross multiply
    43,228x = 64,842 × 10,396
  4. Step 4: Simplify right side
    43,228x = 674,097,432
  5. Step 5: Solve for x
    x = 674,097,432/43,228
  6. Step 6: Final answer
    x = 15,594

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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.