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Finding the Fourth Proportional to 6,359.96, 9,540.96 and 1,978.43

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Solution

The fourth proportional to 6,359.96, 9,540.96 and 1,978.43 is: 2,967.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.96 : 9,540.96 = 1,978.43 : x
  2. Step 2: Convert to fraction form
    6,359.96/9,540.96 = 1,978.43/x
  3. Step 3: Cross multiply
    6,359.96x = 9,540.96 × 1,978.43
  4. Step 4: Simplify right side
    6,359.96x = 18,876,121.49
  5. Step 5: Solve for x
    x = 18,876,121.49/6,359.96
  6. Step 6: Final answer
    x = 2,967.96

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1.5x scale

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.