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Finding the Fourth Proportional to 5,056.75, 6,978.36 and 2,960.92

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Solution

The fourth proportional to 5,056.75, 6,978.36 and 2,960.92 is: 4,086.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.75 : 6,978.36 = 2,960.92 : x
  2. Step 2: Convert to fraction form
    5,056.75/6,978.36 = 2,960.92/x
  3. Step 3: Cross multiply
    5,056.75x = 6,978.36 × 2,960.92
  4. Step 4: Simplify right side
    5,056.75x = 20,662,365.69
  5. Step 5: Solve for x
    x = 20,662,365.69/5,056.75
  6. Step 6: Final answer
    x = 4,086.10

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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.