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Finding the Fourth Proportional to 3,995, 5,514.54 and 2,339

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Solution

The fourth proportional to 3,995, 5,514.54 and 2,339 is: 3,228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995 : 5,514.54 = 2,339 : x
  2. Step 2: Convert to fraction form
    3,995/5,514.54 = 2,339/x
  3. Step 3: Cross multiply
    3,995x = 5,514.54 × 2,339
  4. Step 4: Simplify right side
    3,995x = 12,898,509.06
  5. Step 5: Solve for x
    x = 12,898,509.06/3,995
  6. Step 6: Final answer
    x = 3,228.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.