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Finding the Fourth Proportional to 9,242, 12,752.48 and 5,208.34

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Solution

The fourth proportional to 9,242, 12,752.48 and 5,208.34 is: 7,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242 : 12,752.48 = 5,208.34 : x
  2. Step 2: Convert to fraction form
    9,242/12,752.48 = 5,208.34/x
  3. Step 3: Cross multiply
    9,242x = 12,752.48 × 5,208.34
  4. Step 4: Simplify right side
    9,242x = 66,419,251.68
  5. Step 5: Solve for x
    x = 66,419,251.68/9,242
  6. Step 6: Final answer
    x = 7,186.68

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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.