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Finding the Fourth Proportional to 5,783.76, 7,961.28 and 5,119.44

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Solution

The fourth proportional to 5,783.76, 7,961.28 and 5,119.44 is: 7,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.76 : 7,961.28 = 5,119.44 : x
  2. Step 2: Convert to fraction form
    5,783.76/7,961.28 = 5,119.44/x
  3. Step 3: Cross multiply
    5,783.76x = 7,961.28 × 5,119.44
  4. Step 4: Simplify right side
    5,783.76x = 40,757,295.28
  5. Step 5: Solve for x
    x = 40,757,295.28/5,783.76
  6. Step 6: Final answer
    x = 7,046.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.