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Finding the Fourth Proportional to 16,220.80, 24,331.20 and 5,831.20

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Solution

The fourth proportional to 16,220.80, 24,331.20 and 5,831.20 is: 8,746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.80 : 24,331.20 = 5,831.20 : x
  2. Step 2: Convert to fraction form
    16,220.80/24,331.20 = 5,831.20/x
  3. Step 3: Cross multiply
    16,220.80x = 24,331.20 × 5,831.20
  4. Step 4: Simplify right side
    16,220.80x = 141,880,093.44
  5. Step 5: Solve for x
    x = 141,880,093.44/16,220.80
  6. Step 6: Final answer
    x = 8,746.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.