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Finding the Fourth Proportional to 3,284.50, 4,928.10 and 2,411.47

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Solution

The fourth proportional to 3,284.50, 4,928.10 and 2,411.47 is: 3,618.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.50 : 4,928.10 = 2,411.47 : x
  2. Step 2: Convert to fraction form
    3,284.50/4,928.10 = 2,411.47/x
  3. Step 3: Cross multiply
    3,284.50x = 4,928.10 × 2,411.47
  4. Step 4: Simplify right side
    3,284.50x = 11,883,965.31
  5. Step 5: Solve for x
    x = 11,883,965.31/3,284.50
  6. Step 6: Final answer
    x = 3,618.20

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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.