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Finding the Fourth Proportional to 29,831.20, 44,761.20 and 21,047.20

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Solution

The fourth proportional to 29,831.20, 44,761.20 and 21,047.20 is: 31,580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,831.20 : 44,761.20 = 21,047.20 : x
  2. Step 2: Convert to fraction form
    29,831.20/44,761.20 = 21,047.20/x
  3. Step 3: Cross multiply
    29,831.20x = 44,761.20 × 21,047.20
  4. Step 4: Simplify right side
    29,831.20x = 942,097,928.64
  5. Step 5: Solve for x
    x = 942,097,928.64/29,831.20
  6. Step 6: Final answer
    x = 31,580.96

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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.