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Finding the Fourth Proportional to 3,319.96, 4,979.60 and 854.70

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Solution

The fourth proportional to 3,319.96, 4,979.60 and 854.70 is: 1,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.96 : 4,979.60 = 854.70 : x
  2. Step 2: Convert to fraction form
    3,319.96/4,979.60 = 854.70/x
  3. Step 3: Cross multiply
    3,319.96x = 4,979.60 × 854.70
  4. Step 4: Simplify right side
    3,319.96x = 4,256,064.12
  5. Step 5: Solve for x
    x = 4,256,064.12/3,319.96
  6. Step 6: Final answer
    x = 1,281.96

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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.