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Finding the Fourth Proportional to 6,121.61, 9,181.79 and 1,964.61

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Solution

The fourth proportional to 6,121.61, 9,181.79 and 1,964.61 is: 2,946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121.61 : 9,181.79 = 1,964.61 : x
  2. Step 2: Convert to fraction form
    6,121.61/9,181.79 = 1,964.61/x
  3. Step 3: Cross multiply
    6,121.61x = 9,181.79 × 1,964.61
  4. Step 4: Simplify right side
    6,121.61x = 18,038,634.00
  5. Step 5: Solve for x
    x = 18,038,634.00/6,121.61
  6. Step 6: Final answer
    x = 2,946.71

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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.