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Finding the Fourth Proportional to 2,342.66, 3,513.99 and 611.27

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Solution

The fourth proportional to 2,342.66, 3,513.99 and 611.27 is: 916.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.66 : 3,513.99 = 611.27 : x
  2. Step 2: Convert to fraction form
    2,342.66/3,513.99 = 611.27/x
  3. Step 3: Cross multiply
    2,342.66x = 3,513.99 × 611.27
  4. Step 4: Simplify right side
    2,342.66x = 2,147,996.67
  5. Step 5: Solve for x
    x = 2,147,996.67/2,342.66
  6. Step 6: Final answer
    x = 916.91

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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.