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Finding the Fourth Proportional to 13,482.54, 20,211.84 and 7,245.90

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Solution

The fourth proportional to 13,482.54, 20,211.84 and 7,245.90 is: 10,862.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,482.54 : 20,211.84 = 7,245.90 : x
  2. Step 2: Convert to fraction form
    13,482.54/20,211.84 = 7,245.90/x
  3. Step 3: Cross multiply
    13,482.54x = 20,211.84 × 7,245.90
  4. Step 4: Simplify right side
    13,482.54x = 146,452,971.46
  5. Step 5: Solve for x
    x = 146,452,971.46/13,482.54
  6. Step 6: Final answer
    x = 10,862.42

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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.