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Finding the Fourth Proportional to 7,524.34, 11,286.35 and 1,978.04

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Solution

The fourth proportional to 7,524.34, 11,286.35 and 1,978.04 is: 2,967.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.34 : 11,286.35 = 1,978.04 : x
  2. Step 2: Convert to fraction form
    7,524.34/11,286.35 = 1,978.04/x
  3. Step 3: Cross multiply
    7,524.34x = 11,286.35 × 1,978.04
  4. Step 4: Simplify right side
    7,524.34x = 22,324,841.86
  5. Step 5: Solve for x
    x = 22,324,841.86/7,524.34
  6. Step 6: Final answer
    x = 2,967.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.