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Finding the Fourth Proportional to 6,615.64, 9,129.69 and 3,631.75

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Solution

The fourth proportional to 6,615.64, 9,129.69 and 3,631.75 is: 5,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.64 : 9,129.69 = 3,631.75 : x
  2. Step 2: Convert to fraction form
    6,615.64/9,129.69 = 3,631.75/x
  3. Step 3: Cross multiply
    6,615.64x = 9,129.69 × 3,631.75
  4. Step 4: Simplify right side
    6,615.64x = 33,156,751.66
  5. Step 5: Solve for x
    x = 33,156,751.66/6,615.64
  6. Step 6: Final answer
    x = 5,011.87

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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.