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Finding the Fourth Proportional to 11,894.35, 17,828.08 and 5,645.69

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Solution

The fourth proportional to 11,894.35, 17,828.08 and 5,645.69 is: 8,462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.35 : 17,828.08 = 5,645.69 : x
  2. Step 2: Convert to fraction form
    11,894.35/17,828.08 = 5,645.69/x
  3. Step 3: Cross multiply
    11,894.35x = 17,828.08 × 5,645.69
  4. Step 4: Simplify right side
    11,894.35x = 100,651,812.98
  5. Step 5: Solve for x
    x = 100,651,812.98/11,894.35
  6. Step 6: Final answer
    x = 8,462.15

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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.