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Finding the Fourth Proportional to 5,056, 6,978.48 and 2,960.48

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Solution

The fourth proportional to 5,056, 6,978.48 and 2,960.48 is: 4,086.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056 : 6,978.48 = 2,960.48 : x
  2. Step 2: Convert to fraction form
    5,056/6,978.48 = 2,960.48/x
  3. Step 3: Cross multiply
    5,056x = 6,978.48 × 2,960.48
  4. Step 4: Simplify right side
    5,056x = 20,659,650.47
  5. Step 5: Solve for x
    x = 20,659,650.47/5,056
  6. Step 6: Final answer
    x = 4,086.17

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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.