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Finding the Fourth Proportional to 3,297.05, 4,945.58 and 831.87

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Solution

The fourth proportional to 3,297.05, 4,945.58 and 831.87 is: 1,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.05 : 4,945.58 = 831.87 : x
  2. Step 2: Convert to fraction form
    3,297.05/4,945.58 = 831.87/x
  3. Step 3: Cross multiply
    3,297.05x = 4,945.58 × 831.87
  4. Step 4: Simplify right side
    3,297.05x = 4,114,075.48
  5. Step 5: Solve for x
    x = 4,114,075.48/3,297.05
  6. Step 6: Final answer
    x = 1,247.81

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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.