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Finding the Fourth Proportional to 13,639, 20,480.01 and 8,116.98

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Solution

The fourth proportional to 13,639, 20,480.01 and 8,116.98 is: 12,188.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,639 : 20,480.01 = 8,116.98 : x
  2. Step 2: Convert to fraction form
    13,639/20,480.01 = 8,116.98/x
  3. Step 3: Cross multiply
    13,639x = 20,480.01 × 8,116.98
  4. Step 4: Simplify right side
    13,639x = 166,235,831.57
  5. Step 5: Solve for x
    x = 166,235,831.57/13,639
  6. Step 6: Final answer
    x = 12,188.27

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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.