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Finding the Fourth Proportional to 6,978.39, 9,630.09 and 3,834.57

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Solution

The fourth proportional to 6,978.39, 9,630.09 and 3,834.57 is: 5,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.39 : 9,630.09 = 3,834.57 : x
  2. Step 2: Convert to fraction form
    6,978.39/9,630.09 = 3,834.57/x
  3. Step 3: Cross multiply
    6,978.39x = 9,630.09 × 3,834.57
  4. Step 4: Simplify right side
    6,978.39x = 36,927,254.21
  5. Step 5: Solve for x
    x = 36,927,254.21/6,978.39
  6. Step 6: Final answer
    x = 5,291.66

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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.