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Finding the Fourth Proportional to 3,282.71, 4,923.95 and 817.52

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Solution

The fourth proportional to 3,282.71, 4,923.95 and 817.52 is: 1,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.71 : 4,923.95 = 817.52 : x
  2. Step 2: Convert to fraction form
    3,282.71/4,923.95 = 817.52/x
  3. Step 3: Cross multiply
    3,282.71x = 4,923.95 × 817.52
  4. Step 4: Simplify right side
    3,282.71x = 4,025,427.60
  5. Step 5: Solve for x
    x = 4,025,427.60/3,282.71
  6. Step 6: Final answer
    x = 1,226.25

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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.