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Finding the Fourth Proportional to 2,486.43, 3,730.46 and 1,188

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Solution

The fourth proportional to 2,486.43, 3,730.46 and 1,188 is: 1,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.43 : 3,730.46 = 1,188 : x
  2. Step 2: Convert to fraction form
    2,486.43/3,730.46 = 1,188/x
  3. Step 3: Cross multiply
    2,486.43x = 3,730.46 × 1,188
  4. Step 4: Simplify right side
    2,486.43x = 4,431,780.54
  5. Step 5: Solve for x
    x = 4,431,780.54/2,486.43
  6. Step 6: Final answer
    x = 1,782.39

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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.