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Finding the Fourth Proportional to 13,807.76, 20,708.70 and 3,944.42

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Solution

The fourth proportional to 13,807.76, 20,708.70 and 3,944.42 is: 5,915.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.76 : 20,708.70 = 3,944.42 : x
  2. Step 2: Convert to fraction form
    13,807.76/20,708.70 = 3,944.42/x
  3. Step 3: Cross multiply
    13,807.76x = 20,708.70 × 3,944.42
  4. Step 4: Simplify right side
    13,807.76x = 81,683,810.45
  5. Step 5: Solve for x
    x = 81,683,810.45/13,807.76
  6. Step 6: Final answer
    x = 5,915.79

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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.