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Finding the Fourth Proportional to 7,509, 10,362.42 and 4,197

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Solution

The fourth proportional to 7,509, 10,362.42 and 4,197 is: 5,791.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509 : 10,362.42 = 4,197 : x
  2. Step 2: Convert to fraction form
    7,509/10,362.42 = 4,197/x
  3. Step 3: Cross multiply
    7,509x = 10,362.42 × 4,197
  4. Step 4: Simplify right side
    7,509x = 43,491,076.74
  5. Step 5: Solve for x
    x = 43,491,076.74/7,509
  6. Step 6: Final answer
    x = 5,791.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.