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Finding the Fourth Proportional to 11,894.43, 16,404.84 and 7,645.93

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Solution

The fourth proportional to 11,894.43, 16,404.84 and 7,645.93 is: 10,545.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.43 : 16,404.84 = 7,645.93 : x
  2. Step 2: Convert to fraction form
    11,894.43/16,404.84 = 7,645.93/x
  3. Step 3: Cross multiply
    11,894.43x = 16,404.84 × 7,645.93
  4. Step 4: Simplify right side
    11,894.43x = 125,430,176.28
  5. Step 5: Solve for x
    x = 125,430,176.28/11,894.43
  6. Step 6: Final answer
    x = 10,545.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.