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Finding the Fourth Proportional to 6,958.91, 10,447.28 and 5,978.00

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Solution

The fourth proportional to 6,958.91, 10,447.28 and 5,978.00 is: 8,974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.91 : 10,447.28 = 5,978.00 : x
  2. Step 2: Convert to fraction form
    6,958.91/10,447.28 = 5,978.00/x
  3. Step 3: Cross multiply
    6,958.91x = 10,447.28 × 5,978.00
  4. Step 4: Simplify right side
    6,958.91x = 62,453,858.49
  5. Step 5: Solve for x
    x = 62,453,858.49/6,958.91
  6. Step 6: Final answer
    x = 8,974.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.