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Finding the Fourth Proportional to 3,812.78, 5,260.10 and 2,486

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Solution

The fourth proportional to 3,812.78, 5,260.10 and 2,486 is: 3,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.78 : 5,260.10 = 2,486 : x
  2. Step 2: Convert to fraction form
    3,812.78/5,260.10 = 2,486/x
  3. Step 3: Cross multiply
    3,812.78x = 5,260.10 × 2,486
  4. Step 4: Simplify right side
    3,812.78x = 13,076,608.60
  5. Step 5: Solve for x
    x = 13,076,608.60/3,812.78
  6. Step 6: Final answer
    x = 3,429.68

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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.