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Finding the Fourth Proportional to 13,807.30, 20,711.63 and 3,948.03

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Solution

The fourth proportional to 13,807.30, 20,711.63 and 3,948.03 is: 5,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.30 : 20,711.63 = 3,948.03 : x
  2. Step 2: Convert to fraction form
    13,807.30/20,711.63 = 3,948.03/x
  3. Step 3: Cross multiply
    13,807.30x = 20,711.63 × 3,948.03
  4. Step 4: Simplify right side
    13,807.30x = 81,770,116.85
  5. Step 5: Solve for x
    x = 81,770,116.85/13,807.30
  6. Step 6: Final answer
    x = 5,922.24

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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.