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Finding the Fourth Proportional to 5,056.56, 6,978 and 2,960.16

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Solution

The fourth proportional to 5,056.56, 6,978 and 2,960.16 is: 4,084.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.56 : 6,978 = 2,960.16 : x
  2. Step 2: Convert to fraction form
    5,056.56/6,978 = 2,960.16/x
  3. Step 3: Cross multiply
    5,056.56x = 6,978 × 2,960.16
  4. Step 4: Simplify right side
    5,056.56x = 20,655,996.48
  5. Step 5: Solve for x
    x = 20,655,996.48/5,056.56
  6. Step 6: Final answer
    x = 4,084.99

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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.