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Finding the Fourth Proportional to 3,310.40, 4,958.40 and 2,878.40

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Solution

The fourth proportional to 3,310.40, 4,958.40 and 2,878.40 is: 4,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.40 : 4,958.40 = 2,878.40 : x
  2. Step 2: Convert to fraction form
    3,310.40/4,958.40 = 2,878.40/x
  3. Step 3: Cross multiply
    3,310.40x = 4,958.40 × 2,878.40
  4. Step 4: Simplify right side
    3,310.40x = 14,272,258.56
  5. Step 5: Solve for x
    x = 14,272,258.56/3,310.40
  6. Step 6: Final answer
    x = 4,311.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.