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Finding the Fourth Proportional to 6,481.75, 9,722.76 and 1,864.75

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Solution

The fourth proportional to 6,481.75, 9,722.76 and 1,864.75 is: 2,797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.75 : 9,722.76 = 1,864.75 : x
  2. Step 2: Convert to fraction form
    6,481.75/9,722.76 = 1,864.75/x
  3. Step 3: Cross multiply
    6,481.75x = 9,722.76 × 1,864.75
  4. Step 4: Simplify right side
    6,481.75x = 18,130,516.71
  5. Step 5: Solve for x
    x = 18,130,516.71/6,481.75
  6. Step 6: Final answer
    x = 2,797.16

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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.