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Finding the Fourth Proportional to 6,849.86, 9,449.80 and 4,015.79

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Solution

The fourth proportional to 6,849.86, 9,449.80 and 4,015.79 is: 5,540.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.86 : 9,449.80 = 4,015.79 : x
  2. Step 2: Convert to fraction form
    6,849.86/9,449.80 = 4,015.79/x
  3. Step 3: Cross multiply
    6,849.86x = 9,449.80 × 4,015.79
  4. Step 4: Simplify right side
    6,849.86x = 37,948,345.01
  5. Step 5: Solve for x
    x = 37,948,345.01/6,849.86
  6. Step 6: Final answer
    x = 5,540.02

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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.