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Finding the Fourth Proportional to 3,856, 5,784.96 and 1,120

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Solution

The fourth proportional to 3,856, 5,784.96 and 1,120 is: 1,680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856 : 5,784.96 = 1,120 : x
  2. Step 2: Convert to fraction form
    3,856/5,784.96 = 1,120/x
  3. Step 3: Cross multiply
    3,856x = 5,784.96 × 1,120
  4. Step 4: Simplify right side
    3,856x = 6,479,155.20
  5. Step 5: Solve for x
    x = 6,479,155.20/3,856
  6. Step 6: Final answer
    x = 1,680.28

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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.