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Finding the Fourth Proportional to 6,615.96, 9,129.69 and 3,631.71

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Solution

The fourth proportional to 6,615.96, 9,129.69 and 3,631.71 is: 5,011.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.96 : 9,129.69 = 3,631.71 : x
  2. Step 2: Convert to fraction form
    6,615.96/9,129.69 = 3,631.71/x
  3. Step 3: Cross multiply
    6,615.96x = 9,129.69 × 3,631.71
  4. Step 4: Simplify right side
    6,615.96x = 33,156,386.47
  5. Step 5: Solve for x
    x = 33,156,386.47/6,615.96
  6. Step 6: Final answer
    x = 5,011.58

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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.