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Finding the Fourth Proportional to 3,203.26, 4,804.84 and 831.34

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Solution

The fourth proportional to 3,203.26, 4,804.84 and 831.34 is: 1,247.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.26 : 4,804.84 = 831.34 : x
  2. Step 2: Convert to fraction form
    3,203.26/4,804.84 = 831.34/x
  3. Step 3: Cross multiply
    3,203.26x = 4,804.84 × 831.34
  4. Step 4: Simplify right side
    3,203.26x = 3,994,455.69
  5. Step 5: Solve for x
    x = 3,994,455.69/3,203.26
  6. Step 6: Final answer
    x = 1,247.00

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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.