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Finding the Fourth Proportional to 13,378.56, 20,061.04 and 7,833.64

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Solution

The fourth proportional to 13,378.56, 20,061.04 and 7,833.64 is: 11,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.56 : 20,061.04 = 7,833.64 : x
  2. Step 2: Convert to fraction form
    13,378.56/20,061.04 = 7,833.64/x
  3. Step 3: Cross multiply
    13,378.56x = 20,061.04 × 7,833.64
  4. Step 4: Simplify right side
    13,378.56x = 157,150,965.39
  5. Step 5: Solve for x
    x = 157,150,965.39/13,378.56
  6. Step 6: Final answer
    x = 11,746.48

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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.