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Finding the Fourth Proportional to 9,177.48, 12,663.90 and 5,198.52

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Solution

The fourth proportional to 9,177.48, 12,663.90 and 5,198.52 is: 7,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.48 : 12,663.90 = 5,198.52 : x
  2. Step 2: Convert to fraction form
    9,177.48/12,663.90 = 5,198.52/x
  3. Step 3: Cross multiply
    9,177.48x = 12,663.90 × 5,198.52
  4. Step 4: Simplify right side
    9,177.48x = 65,833,537.43
  5. Step 5: Solve for x
    x = 65,833,537.43/9,177.48
  6. Step 6: Final answer
    x = 7,173.38

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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.