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Finding the Fourth Proportional to 11,586, 17,378.84 and 2,820.92

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Solution

The fourth proportional to 11,586, 17,378.84 and 2,820.92 is: 4,231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586 : 17,378.84 = 2,820.92 : x
  2. Step 2: Convert to fraction form
    11,586/17,378.84 = 2,820.92/x
  3. Step 3: Cross multiply
    11,586x = 17,378.84 × 2,820.92
  4. Step 4: Simplify right side
    11,586x = 49,024,317.33
  5. Step 5: Solve for x
    x = 49,024,317.33/11,586
  6. Step 6: Final answer
    x = 4,231.34

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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.