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Finding the Fourth Proportional to 13,837, 20,756.38 and 3,976.06

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Solution

The fourth proportional to 13,837, 20,756.38 and 3,976.06 is: 5,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,837 : 20,756.38 = 3,976.06 : x
  2. Step 2: Convert to fraction form
    13,837/20,756.38 = 3,976.06/x
  3. Step 3: Cross multiply
    13,837x = 20,756.38 × 3,976.06
  4. Step 4: Simplify right side
    13,837x = 82,528,612.26
  5. Step 5: Solve for x
    x = 82,528,612.26/13,837
  6. Step 6: Final answer
    x = 5,964.34

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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.