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Finding the Fourth Proportional to 2,854.56, 3,936.87 and 2,264.07

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Solution

The fourth proportional to 2,854.56, 3,936.87 and 2,264.07 is: 3,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.56 : 3,936.87 = 2,264.07 : x
  2. Step 2: Convert to fraction form
    2,854.56/3,936.87 = 2,264.07/x
  3. Step 3: Cross multiply
    2,854.56x = 3,936.87 × 2,264.07
  4. Step 4: Simplify right side
    2,854.56x = 8,913,349.26
  5. Step 5: Solve for x
    x = 8,913,349.26/2,854.56
  6. Step 6: Final answer
    x = 3,122.49

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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.