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Finding the Fourth Proportional to 13,482.50, 20,223.80 and 4,122.48

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Solution

The fourth proportional to 13,482.50, 20,223.80 and 4,122.48 is: 6,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,482.50 : 20,223.80 = 4,122.48 : x
  2. Step 2: Convert to fraction form
    13,482.50/20,223.80 = 4,122.48/x
  3. Step 3: Cross multiply
    13,482.50x = 20,223.80 × 4,122.48
  4. Step 4: Simplify right side
    13,482.50x = 83,372,211.02
  5. Step 5: Solve for x
    x = 83,372,211.02/13,482.50
  6. Step 6: Final answer
    x = 6,183.74

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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.