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Finding the Fourth Proportional to 7,509.82, 11,275 and 4,728.28

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Solution

The fourth proportional to 7,509.82, 11,275 and 4,728.28 is: 7,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.82 : 11,275 = 4,728.28 : x
  2. Step 2: Convert to fraction form
    7,509.82/11,275 = 4,728.28/x
  3. Step 3: Cross multiply
    7,509.82x = 11,275 × 4,728.28
  4. Step 4: Simplify right side
    7,509.82x = 53,311,357
  5. Step 5: Solve for x
    x = 53,311,357/7,509.82
  6. Step 6: Final answer
    x = 7,098.89

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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.