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Finding the Fourth Proportional to 7,515, 11,265 and 3,617.28

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Solution

The fourth proportional to 7,515, 11,265 and 3,617.28 is: 5,422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,515 : 11,265 = 3,617.28 : x
  2. Step 2: Convert to fraction form
    7,515/11,265 = 3,617.28/x
  3. Step 3: Cross multiply
    7,515x = 11,265 × 3,617.28
  4. Step 4: Simplify right side
    7,515x = 40,748,659.20
  5. Step 5: Solve for x
    x = 40,748,659.20/7,515
  6. Step 6: Final answer
    x = 5,422.31

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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.