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Finding the Fourth Proportional to 11,802, 17,703 and 4,876.68

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Solution

The fourth proportional to 11,802, 17,703 and 4,876.68 is: 7,315.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802 : 17,703 = 4,876.68 : x
  2. Step 2: Convert to fraction form
    11,802/17,703 = 4,876.68/x
  3. Step 3: Cross multiply
    11,802x = 17,703 × 4,876.68
  4. Step 4: Simplify right side
    11,802x = 86,331,866.04
  5. Step 5: Solve for x
    x = 86,331,866.04/11,802
  6. Step 6: Final answer
    x = 7,315.02

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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.