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Finding the Fourth Proportional to 6,689.81, 10,034.72 and 3,935.68

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Solution

The fourth proportional to 6,689.81, 10,034.72 and 3,935.68 is: 5,903.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.81 : 10,034.72 = 3,935.68 : x
  2. Step 2: Convert to fraction form
    6,689.81/10,034.72 = 3,935.68/x
  3. Step 3: Cross multiply
    6,689.81x = 10,034.72 × 3,935.68
  4. Step 4: Simplify right side
    6,689.81x = 39,493,446.81
  5. Step 5: Solve for x
    x = 39,493,446.81/6,689.81
  6. Step 6: Final answer
    x = 5,903.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.