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Finding the Fourth Proportional to 6,552, 9,042.03 and 3,757.50

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Solution

The fourth proportional to 6,552, 9,042.03 and 3,757.50 is: 5,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552 : 9,042.03 = 3,757.50 : x
  2. Step 2: Convert to fraction form
    6,552/9,042.03 = 3,757.50/x
  3. Step 3: Cross multiply
    6,552x = 9,042.03 × 3,757.50
  4. Step 4: Simplify right side
    6,552x = 33,975,427.73
  5. Step 5: Solve for x
    x = 33,975,427.73/6,552
  6. Step 6: Final answer
    x = 5,185.50

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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.