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Finding the Fourth Proportional to 7,269, 10,031.22 and 3,957

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Solution

The fourth proportional to 7,269, 10,031.22 and 3,957 is: 5,460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,269 : 10,031.22 = 3,957 : x
  2. Step 2: Convert to fraction form
    7,269/10,031.22 = 3,957/x
  3. Step 3: Cross multiply
    7,269x = 10,031.22 × 3,957
  4. Step 4: Simplify right side
    7,269x = 39,693,537.54
  5. Step 5: Solve for x
    x = 39,693,537.54/7,269
  6. Step 6: Final answer
    x = 5,460.66

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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.