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Finding the Fourth Proportional to 11,902.43, 16,410.39 and 7,645.97

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Solution

The fourth proportional to 11,902.43, 16,410.39 and 7,645.97 is: 10,541.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.43 : 16,410.39 = 7,645.97 : x
  2. Step 2: Convert to fraction form
    11,902.43/16,410.39 = 7,645.97/x
  3. Step 3: Cross multiply
    11,902.43x = 16,410.39 × 7,645.97
  4. Step 4: Simplify right side
    11,902.43x = 125,473,349.63
  5. Step 5: Solve for x
    x = 125,473,349.63/11,902.43
  6. Step 6: Final answer
    x = 10,541.83

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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.