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Finding the Fourth Proportional to 13,616.26, 18,777.94 and 8,831.20

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Solution

The fourth proportional to 13,616.26, 18,777.94 and 8,831.20 is: 12,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.26 : 18,777.94 = 8,831.20 : x
  2. Step 2: Convert to fraction form
    13,616.26/18,777.94 = 8,831.20/x
  3. Step 3: Cross multiply
    13,616.26x = 18,777.94 × 8,831.20
  4. Step 4: Simplify right side
    13,616.26x = 165,831,743.73
  5. Step 5: Solve for x
    x = 165,831,743.73/13,616.26
  6. Step 6: Final answer
    x = 12,178.95

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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.