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Finding the Fourth Proportional to 3,853.12, 5,780.32 and 1,256

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Solution

The fourth proportional to 3,853.12, 5,780.32 and 1,256 is: 1,884.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.12 : 5,780.32 = 1,256 : x
  2. Step 2: Convert to fraction form
    3,853.12/5,780.32 = 1,256/x
  3. Step 3: Cross multiply
    3,853.12x = 5,780.32 × 1,256
  4. Step 4: Simplify right side
    3,853.12x = 7,260,081.92
  5. Step 5: Solve for x
    x = 7,260,081.92/3,853.12
  6. Step 6: Final answer
    x = 1,884.21

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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.