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Finding the Fourth Proportional to 2,854.87, 3,940.02 and 1,676.32

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Solution

The fourth proportional to 2,854.87, 3,940.02 and 1,676.32 is: 2,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.87 : 3,940.02 = 1,676.32 : x
  2. Step 2: Convert to fraction form
    2,854.87/3,940.02 = 1,676.32/x
  3. Step 3: Cross multiply
    2,854.87x = 3,940.02 × 1,676.32
  4. Step 4: Simplify right side
    2,854.87x = 6,604,724.48
  5. Step 5: Solve for x
    x = 6,604,724.48/2,854.87
  6. Step 6: Final answer
    x = 2,313.50

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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.