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Finding the Fourth Proportional to 7,538.50, 11,314.80 and 3,843.40

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Solution

The fourth proportional to 7,538.50, 11,314.80 and 3,843.40 is: 5,768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.50 : 11,314.80 = 3,843.40 : x
  2. Step 2: Convert to fraction form
    7,538.50/11,314.80 = 3,843.40/x
  3. Step 3: Cross multiply
    7,538.50x = 11,314.80 × 3,843.40
  4. Step 4: Simplify right side
    7,538.50x = 43,487,302.32
  5. Step 5: Solve for x
    x = 43,487,302.32/7,538.50
  6. Step 6: Final answer
    x = 5,768.69

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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.