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Finding the Fourth Proportional to 20,992.49, 31,460.78 and 7,831.61

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Solution

The fourth proportional to 20,992.49, 31,460.78 and 7,831.61 is: 11,736.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,992.49 : 31,460.78 = 7,831.61 : x
  2. Step 2: Convert to fraction form
    20,992.49/31,460.78 = 7,831.61/x
  3. Step 3: Cross multiply
    20,992.49x = 31,460.78 × 7,831.61
  4. Step 4: Simplify right side
    20,992.49x = 246,388,559.26
  5. Step 5: Solve for x
    x = 246,388,559.26/20,992.49
  6. Step 6: Final answer
    x = 11,736.99

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1.5x scale

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.