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Finding the Fourth Proportional to 3,875.46, 5,813.25 and 3,678.54

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Solution

The fourth proportional to 3,875.46, 5,813.25 and 3,678.54 is: 5,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.46 : 5,813.25 = 3,678.54 : x
  2. Step 2: Convert to fraction form
    3,875.46/5,813.25 = 3,678.54/x
  3. Step 3: Cross multiply
    3,875.46x = 5,813.25 × 3,678.54
  4. Step 4: Simplify right side
    3,875.46x = 21,384,272.66
  5. Step 5: Solve for x
    x = 21,384,272.66/3,875.46
  6. Step 6: Final answer
    x = 5,517.87

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1.5x scale

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.