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Finding the Fourth Proportional to 13,388.80, 18,477.84 and 7,422.40

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Solution

The fourth proportional to 13,388.80, 18,477.84 and 7,422.40 is: 10,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,388.80 : 18,477.84 = 7,422.40 : x
  2. Step 2: Convert to fraction form
    13,388.80/18,477.84 = 7,422.40/x
  3. Step 3: Cross multiply
    13,388.80x = 18,477.84 × 7,422.40
  4. Step 4: Simplify right side
    13,388.80x = 137,149,919.62
  5. Step 5: Solve for x
    x = 137,149,919.62/13,388.80
  6. Step 6: Final answer
    x = 10,243.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.