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Finding the Fourth Proportional to 11,893.93, 16,404.15 and 7,645.43

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Solution

The fourth proportional to 11,893.93, 16,404.15 and 7,645.43 is: 10,544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.93 : 16,404.15 = 7,645.43 : x
  2. Step 2: Convert to fraction form
    11,893.93/16,404.15 = 7,645.43/x
  3. Step 3: Cross multiply
    11,893.93x = 16,404.15 × 7,645.43
  4. Step 4: Simplify right side
    11,893.93x = 125,416,718.75
  5. Step 5: Solve for x
    x = 125,416,718.75/11,893.93
  6. Step 6: Final answer
    x = 10,544.60

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1.5x scale

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.