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Finding the Fourth Proportional to 13,432.52, 20,133.52 and 6,844.80

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Solution

The fourth proportional to 13,432.52, 20,133.52 and 6,844.80 is: 10,259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.52 : 20,133.52 = 6,844.80 : x
  2. Step 2: Convert to fraction form
    13,432.52/20,133.52 = 6,844.80/x
  3. Step 3: Cross multiply
    13,432.52x = 20,133.52 × 6,844.80
  4. Step 4: Simplify right side
    13,432.52x = 137,809,917.70
  5. Step 5: Solve for x
    x = 137,809,917.70/13,432.52
  6. Step 6: Final answer
    x = 10,259.42

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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.