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Finding the Fourth Proportional to 3,902.16, 5,854.04 and 1,305.12

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Solution

The fourth proportional to 3,902.16, 5,854.04 and 1,305.12 is: 1,957.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.16 : 5,854.04 = 1,305.12 : x
  2. Step 2: Convert to fraction form
    3,902.16/5,854.04 = 1,305.12/x
  3. Step 3: Cross multiply
    3,902.16x = 5,854.04 × 1,305.12
  4. Step 4: Simplify right side
    3,902.16x = 7,640,224.68
  5. Step 5: Solve for x
    x = 7,640,224.68/3,902.16
  6. Step 6: Final answer
    x = 1,957.95

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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.