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Finding the Fourth Proportional to 43,634, 65,451 and 10,802

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Solution

The fourth proportional to 43,634, 65,451 and 10,802 is: 16,203

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,634 : 65,451 = 10,802 : x
  2. Step 2: Convert to fraction form
    43,634/65,451 = 10,802/x
  3. Step 3: Cross multiply
    43,634x = 65,451 × 10,802
  4. Step 4: Simplify right side
    43,634x = 707,001,702
  5. Step 5: Solve for x
    x = 707,001,702/43,634
  6. Step 6: Final answer
    x = 16,203

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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.