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Finding the Fourth Proportional to 2,342.72, 3,514.16 and 611.28

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Solution

The fourth proportional to 2,342.72, 3,514.16 and 611.28 is: 916.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.72 : 3,514.16 = 611.28 : x
  2. Step 2: Convert to fraction form
    2,342.72/3,514.16 = 611.28/x
  3. Step 3: Cross multiply
    2,342.72x = 3,514.16 × 611.28
  4. Step 4: Simplify right side
    2,342.72x = 2,148,135.72
  5. Step 5: Solve for x
    x = 2,148,135.72/2,342.72
  6. Step 6: Final answer
    x = 916.94

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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.