Home / 19,517-29,279.20-7,831.14

Finding the Fourth Proportional to 19,517, 29,279.20 and 7,831.14

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Solution

The fourth proportional to 19,517, 29,279.20 and 7,831.14 is: 11,748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,517 : 29,279.20 = 7,831.14 : x
  2. Step 2: Convert to fraction form
    19,517/29,279.20 = 7,831.14/x
  3. Step 3: Cross multiply
    19,517x = 29,279.20 × 7,831.14
  4. Step 4: Simplify right side
    19,517x = 229,289,514.29
  5. Step 5: Solve for x
    x = 229,289,514.29/19,517
  6. Step 6: Final answer
    x = 11,748.19

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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.