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Finding the Fourth Proportional to 4,156.78, 5,736.36 and 2,293.78

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Solution

The fourth proportional to 4,156.78, 5,736.36 and 2,293.78 is: 3,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.78 : 5,736.36 = 2,293.78 : x
  2. Step 2: Convert to fraction form
    4,156.78/5,736.36 = 2,293.78/x
  3. Step 3: Cross multiply
    4,156.78x = 5,736.36 × 2,293.78
  4. Step 4: Simplify right side
    4,156.78x = 13,157,947.84
  5. Step 5: Solve for x
    x = 13,157,947.84/4,156.78
  6. Step 6: Final answer
    x = 3,165.42

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1.5x scale

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.