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Finding the Fourth Proportional to 43,870, 65,805 and 11,038

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Solution

The fourth proportional to 43,870, 65,805 and 11,038 is: 16,557

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,870 : 65,805 = 11,038 : x
  2. Step 2: Convert to fraction form
    43,870/65,805 = 11,038/x
  3. Step 3: Cross multiply
    43,870x = 65,805 × 11,038
  4. Step 4: Simplify right side
    43,870x = 726,355,590
  5. Step 5: Solve for x
    x = 726,355,590/43,870
  6. Step 6: Final answer
    x = 16,557

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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.