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Finding the Fourth Proportional to 5,040, 6,956 and 2,945.28

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Solution

The fourth proportional to 5,040, 6,956 and 2,945.28 is: 4,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,040 : 6,956 = 2,945.28 : x
  2. Step 2: Convert to fraction form
    5,040/6,956 = 2,945.28/x
  3. Step 3: Cross multiply
    5,040x = 6,956 × 2,945.28
  4. Step 4: Simplify right side
    5,040x = 20,487,367.68
  5. Step 5: Solve for x
    x = 20,487,367.68/5,040
  6. Step 6: Final answer
    x = 4,064.95

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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.