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Finding the Fourth Proportional to 19,986, 29,946.19 and 6,831.19

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Solution

The fourth proportional to 19,986, 29,946.19 and 6,831.19 is: 10,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,986 : 29,946.19 = 6,831.19 : x
  2. Step 2: Convert to fraction form
    19,986/29,946.19 = 6,831.19/x
  3. Step 3: Cross multiply
    19,986x = 29,946.19 × 6,831.19
  4. Step 4: Simplify right side
    19,986x = 204,568,113.67
  5. Step 5: Solve for x
    x = 204,568,113.67/19,986
  6. Step 6: Final answer
    x = 10,235.57

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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.