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Finding the Fourth Proportional to 6,978.46, 9,629.78 and 3,952.72

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Solution

The fourth proportional to 6,978.46, 9,629.78 and 3,952.72 is: 5,454.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.46 : 9,629.78 = 3,952.72 : x
  2. Step 2: Convert to fraction form
    6,978.46/9,629.78 = 3,952.72/x
  3. Step 3: Cross multiply
    6,978.46x = 9,629.78 × 3,952.72
  4. Step 4: Simplify right side
    6,978.46x = 38,063,824.00
  5. Step 5: Solve for x
    x = 38,063,824.00/6,978.46
  6. Step 6: Final answer
    x = 5,454.47

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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.