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Finding the Fourth Proportional to 3,902.83, 5,853.81 and 981.15

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Solution

The fourth proportional to 3,902.83, 5,853.81 and 981.15 is: 1,471.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.83 : 5,853.81 = 981.15 : x
  2. Step 2: Convert to fraction form
    3,902.83/5,853.81 = 981.15/x
  3. Step 3: Cross multiply
    3,902.83x = 5,853.81 × 981.15
  4. Step 4: Simplify right side
    3,902.83x = 5,743,465.68
  5. Step 5: Solve for x
    x = 5,743,465.68/3,902.83
  6. Step 6: Final answer
    x = 1,471.62

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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.