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Finding the Fourth Proportional to 5,643.81, 8,451.09 and 3,894.21

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Solution

The fourth proportional to 5,643.81, 8,451.09 and 3,894.21 is: 5,831.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.81 : 8,451.09 = 3,894.21 : x
  2. Step 2: Convert to fraction form
    5,643.81/8,451.09 = 3,894.21/x
  3. Step 3: Cross multiply
    5,643.81x = 8,451.09 × 3,894.21
  4. Step 4: Simplify right side
    5,643.81x = 32,910,319.19
  5. Step 5: Solve for x
    x = 32,910,319.19/5,643.81
  6. Step 6: Final answer
    x = 5,831.22

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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.