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Finding the Fourth Proportional to 4,615.26, 6,921.81 and 1,691.70

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Solution

The fourth proportional to 4,615.26, 6,921.81 and 1,691.70 is: 2,537.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.26 : 6,921.81 = 1,691.70 : x
  2. Step 2: Convert to fraction form
    4,615.26/6,921.81 = 1,691.70/x
  3. Step 3: Cross multiply
    4,615.26x = 6,921.81 × 1,691.70
  4. Step 4: Simplify right side
    4,615.26x = 11,709,625.98
  5. Step 5: Solve for x
    x = 11,709,625.98/4,615.26
  6. Step 6: Final answer
    x = 2,537.15

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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.