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Finding the Fourth Proportional to 2,854.56, 3,936.96 and 2,839.98

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Solution

The fourth proportional to 2,854.56, 3,936.96 and 2,839.98 is: 3,916.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.56 : 3,936.96 = 2,839.98 : x
  2. Step 2: Convert to fraction form
    2,854.56/3,936.96 = 2,839.98/x
  3. Step 3: Cross multiply
    2,854.56x = 3,936.96 × 2,839.98
  4. Step 4: Simplify right side
    2,854.56x = 11,180,887.66
  5. Step 5: Solve for x
    x = 11,180,887.66/2,854.56
  6. Step 6: Final answer
    x = 3,916.85

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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.