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Finding the Fourth Proportional to 13,643.52, 20,449.92 and 6,722.88

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Solution

The fourth proportional to 13,643.52, 20,449.92 and 6,722.88 is: 10,076.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.52 : 20,449.92 = 6,722.88 : x
  2. Step 2: Convert to fraction form
    13,643.52/20,449.92 = 6,722.88/x
  3. Step 3: Cross multiply
    13,643.52x = 20,449.92 × 6,722.88
  4. Step 4: Simplify right side
    13,643.52x = 137,482,358.17
  5. Step 5: Solve for x
    x = 137,482,358.17/13,643.52
  6. Step 6: Final answer
    x = 10,076.75

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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.