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Finding the Fourth Proportional to 3,285.36, 4,928.36 and 1,310.52

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Solution

The fourth proportional to 3,285.36, 4,928.36 and 1,310.52 is: 1,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.36 : 4,928.36 = 1,310.52 : x
  2. Step 2: Convert to fraction form
    3,285.36/4,928.36 = 1,310.52/x
  3. Step 3: Cross multiply
    3,285.36x = 4,928.36 × 1,310.52
  4. Step 4: Simplify right side
    3,285.36x = 6,458,714.35
  5. Step 5: Solve for x
    x = 6,458,714.35/3,285.36
  6. Step 6: Final answer
    x = 1,965.91

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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.