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Finding the Fourth Proportional to 3,916, 5,404.56 and 2,260

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Solution

The fourth proportional to 3,916, 5,404.56 and 2,260 is: 3,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916 : 5,404.56 = 2,260 : x
  2. Step 2: Convert to fraction form
    3,916/5,404.56 = 2,260/x
  3. Step 3: Cross multiply
    3,916x = 5,404.56 × 2,260
  4. Step 4: Simplify right side
    3,916x = 12,214,305.60
  5. Step 5: Solve for x
    x = 12,214,305.60/3,916
  6. Step 6: Final answer
    x = 3,119.08

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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.