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Finding the Fourth Proportional to 3,226.70, 4,838.70 and 1,583.75

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Solution

The fourth proportional to 3,226.70, 4,838.70 and 1,583.75 is: 2,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.70 : 4,838.70 = 1,583.75 : x
  2. Step 2: Convert to fraction form
    3,226.70/4,838.70 = 1,583.75/x
  3. Step 3: Cross multiply
    3,226.70x = 4,838.70 × 1,583.75
  4. Step 4: Simplify right side
    3,226.70x = 7,663,291.13
  5. Step 5: Solve for x
    x = 7,663,291.13/3,226.70
  6. Step 6: Final answer
    x = 2,374.96

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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.