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Finding the Fourth Proportional to 2,342.82, 3,514.16 and 611.45

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Solution

The fourth proportional to 2,342.82, 3,514.16 and 611.45 is: 917.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.82 : 3,514.16 = 611.45 : x
  2. Step 2: Convert to fraction form
    2,342.82/3,514.16 = 611.45/x
  3. Step 3: Cross multiply
    2,342.82x = 3,514.16 × 611.45
  4. Step 4: Simplify right side
    2,342.82x = 2,148,715.56
  5. Step 5: Solve for x
    x = 2,148,715.56/2,342.82
  6. Step 6: Final answer
    x = 917.15

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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.