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Finding the Fourth Proportional to 21,009.26, 31,514.49 and 7,859.12

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Solution

The fourth proportional to 21,009.26, 31,514.49 and 7,859.12 is: 11,788.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009.26 : 31,514.49 = 7,859.12 : x
  2. Step 2: Convert to fraction form
    21,009.26/31,514.49 = 7,859.12/x
  3. Step 3: Cross multiply
    21,009.26x = 31,514.49 × 7,859.12
  4. Step 4: Simplify right side
    21,009.26x = 247,676,001.08
  5. Step 5: Solve for x
    x = 247,676,001.08/21,009.26
  6. Step 6: Final answer
    x = 11,788.90

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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.