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Finding the Fourth Proportional to 6,831.80, 10,250.12 and 2,214.80

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Solution

The fourth proportional to 6,831.80, 10,250.12 and 2,214.80 is: 3,322.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.80 : 10,250.12 = 2,214.80 : x
  2. Step 2: Convert to fraction form
    6,831.80/10,250.12 = 2,214.80/x
  3. Step 3: Cross multiply
    6,831.80x = 10,250.12 × 2,214.80
  4. Step 4: Simplify right side
    6,831.80x = 22,701,965.78
  5. Step 5: Solve for x
    x = 22,701,965.78/6,831.80
  6. Step 6: Final answer
    x = 3,322.98

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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.