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Finding the Fourth Proportional to 13,338.92, 20,009.39 and 3,978.20

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Solution

The fourth proportional to 13,338.92, 20,009.39 and 3,978.20 is: 5,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,338.92 : 20,009.39 = 3,978.20 : x
  2. Step 2: Convert to fraction form
    13,338.92/20,009.39 = 3,978.20/x
  3. Step 3: Cross multiply
    13,338.92x = 20,009.39 × 3,978.20
  4. Step 4: Simplify right side
    13,338.92x = 79,601,335.41
  5. Step 5: Solve for x
    x = 79,601,335.41/13,338.92
  6. Step 6: Final answer
    x = 5,967.60

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1.5x scale

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.