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Finding the Fourth Proportional to 3,678.52, 5,514.52 and 1,486.84

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Solution

The fourth proportional to 3,678.52, 5,514.52 and 1,486.84 is: 2,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.52 : 5,514.52 = 1,486.84 : x
  2. Step 2: Convert to fraction form
    3,678.52/5,514.52 = 1,486.84/x
  3. Step 3: Cross multiply
    3,678.52x = 5,514.52 × 1,486.84
  4. Step 4: Simplify right side
    3,678.52x = 8,199,208.92
  5. Step 5: Solve for x
    x = 8,199,208.92/3,678.52
  6. Step 6: Final answer
    x = 2,228.94

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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.