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Finding the Fourth Proportional to 6,859.50, 9,465.12 and 3,834.66

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Solution

The fourth proportional to 6,859.50, 9,465.12 and 3,834.66 is: 5,291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.50 : 9,465.12 = 3,834.66 : x
  2. Step 2: Convert to fraction form
    6,859.50/9,465.12 = 3,834.66/x
  3. Step 3: Cross multiply
    6,859.50x = 9,465.12 × 3,834.66
  4. Step 4: Simplify right side
    6,859.50x = 36,295,517.06
  5. Step 5: Solve for x
    x = 36,295,517.06/6,859.50
  6. Step 6: Final answer
    x = 5,291.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.