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Finding the Fourth Proportional to 27,831.40, 38,409.40 and 17,227.20

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Solution

The fourth proportional to 27,831.40, 38,409.40 and 17,227.20 is: 23,774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,831.40 : 38,409.40 = 17,227.20 : x
  2. Step 2: Convert to fraction form
    27,831.40/38,409.40 = 17,227.20/x
  3. Step 3: Cross multiply
    27,831.40x = 38,409.40 × 17,227.20
  4. Step 4: Simplify right side
    27,831.40x = 661,686,415.68
  5. Step 5: Solve for x
    x = 661,686,415.68/27,831.40
  6. Step 6: Final answer
    x = 23,774.82

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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.