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Finding the Fourth Proportional to 7,442, 10,272.48 and 5,208.54

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Solution

The fourth proportional to 7,442, 10,272.48 and 5,208.54 is: 7,189.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442 : 10,272.48 = 5,208.54 : x
  2. Step 2: Convert to fraction form
    7,442/10,272.48 = 5,208.54/x
  3. Step 3: Cross multiply
    7,442x = 10,272.48 × 5,208.54
  4. Step 4: Simplify right side
    7,442x = 53,504,622.98
  5. Step 5: Solve for x
    x = 53,504,622.98/7,442
  6. Step 6: Final answer
    x = 7,189.55

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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.