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Finding the Fourth Proportional to 17,861, 26,787.84 and 6,177.56

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Solution

The fourth proportional to 17,861, 26,787.84 and 6,177.56 is: 9,265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,861 : 26,787.84 = 6,177.56 : x
  2. Step 2: Convert to fraction form
    17,861/26,787.84 = 6,177.56/x
  3. Step 3: Cross multiply
    17,861x = 26,787.84 × 6,177.56
  4. Step 4: Simplify right side
    17,861x = 165,483,488.87
  5. Step 5: Solve for x
    x = 165,483,488.87/17,861
  6. Step 6: Final answer
    x = 9,265.07

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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.