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Finding the Fourth Proportional to 2,864, 4,296.81 and 1,220.87

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Solution

The fourth proportional to 2,864, 4,296.81 and 1,220.87 is: 1,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864 : 4,296.81 = 1,220.87 : x
  2. Step 2: Convert to fraction form
    2,864/4,296.81 = 1,220.87/x
  3. Step 3: Cross multiply
    2,864x = 4,296.81 × 1,220.87
  4. Step 4: Simplify right side
    2,864x = 5,245,846.42
  5. Step 5: Solve for x
    x = 5,245,846.42/2,864
  6. Step 6: Final answer
    x = 1,831.65

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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.