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Finding the Fourth Proportional to 12,201.59, 16,831.70 and 7,422.99

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Solution

The fourth proportional to 12,201.59, 16,831.70 and 7,422.99 is: 10,239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.59 : 16,831.70 = 7,422.99 : x
  2. Step 2: Convert to fraction form
    12,201.59/16,831.70 = 7,422.99/x
  3. Step 3: Cross multiply
    12,201.59x = 16,831.70 × 7,422.99
  4. Step 4: Simplify right side
    12,201.59x = 124,941,540.78
  5. Step 5: Solve for x
    x = 124,941,540.78/12,201.59
  6. Step 6: Final answer
    x = 10,239.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.