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Finding the Fourth Proportional to 17,678.76, 26,514.03 and 7,812.65

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Solution

The fourth proportional to 17,678.76, 26,514.03 and 7,812.65 is: 11,717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.76 : 26,514.03 = 7,812.65 : x
  2. Step 2: Convert to fraction form
    17,678.76/26,514.03 = 7,812.65/x
  3. Step 3: Cross multiply
    17,678.76x = 26,514.03 × 7,812.65
  4. Step 4: Simplify right side
    17,678.76x = 207,144,932.06
  5. Step 5: Solve for x
    x = 207,144,932.06/17,678.76
  6. Step 6: Final answer
    x = 11,717.17

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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.