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Finding the Fourth Proportional to 5,056.56, 6,978.78 and 2,960.64

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Solution

The fourth proportional to 5,056.56, 6,978.78 and 2,960.64 is: 4,086.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.56 : 6,978.78 = 2,960.64 : x
  2. Step 2: Convert to fraction form
    5,056.56/6,978.78 = 2,960.64/x
  3. Step 3: Cross multiply
    5,056.56x = 6,978.78 × 2,960.64
  4. Step 4: Simplify right side
    5,056.56x = 20,661,655.22
  5. Step 5: Solve for x
    x = 20,661,655.22/5,056.56
  6. Step 6: Final answer
    x = 4,086.11

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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.