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Finding the Fourth Proportional to 7,500, 11,252.60 and 3,342.96

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Solution

The fourth proportional to 7,500, 11,252.60 and 3,342.96 is: 5,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,500 : 11,252.60 = 3,342.96 : x
  2. Step 2: Convert to fraction form
    7,500/11,252.60 = 3,342.96/x
  3. Step 3: Cross multiply
    7,500x = 11,252.60 × 3,342.96
  4. Step 4: Simplify right side
    7,500x = 37,616,991.70
  5. Step 5: Solve for x
    x = 37,616,991.70/7,500
  6. Step 6: Final answer
    x = 5,015.60

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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.