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Finding the Fourth Proportional to 3,902.96, 5,853.74 and 1,128.95

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Solution

The fourth proportional to 3,902.96, 5,853.74 and 1,128.95 is: 1,693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.96 : 5,853.74 = 1,128.95 : x
  2. Step 2: Convert to fraction form
    3,902.96/5,853.74 = 1,128.95/x
  3. Step 3: Cross multiply
    3,902.96x = 5,853.74 × 1,128.95
  4. Step 4: Simplify right side
    3,902.96x = 6,608,574.13
  5. Step 5: Solve for x
    x = 6,608,574.13/3,902.96
  6. Step 6: Final answer
    x = 1,693.22

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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.