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Finding the Fourth Proportional to 6,615.78, 9,129.92 and 3,631.82

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Solution

The fourth proportional to 6,615.78, 9,129.92 and 3,631.82 is: 5,011.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.78 : 9,129.92 = 3,631.82 : x
  2. Step 2: Convert to fraction form
    6,615.78/9,129.92 = 3,631.82/x
  3. Step 3: Cross multiply
    6,615.78x = 9,129.92 × 3,631.82
  4. Step 4: Simplify right side
    6,615.78x = 33,158,162.25
  5. Step 5: Solve for x
    x = 33,158,162.25/6,615.78
  6. Step 6: Final answer
    x = 5,011.98

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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.