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Finding the Fourth Proportional to 6,978.24, 9,630.63 and 3,834.90

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Solution

The fourth proportional to 6,978.24, 9,630.63 and 3,834.90 is: 5,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.24 : 9,630.63 = 3,834.90 : x
  2. Step 2: Convert to fraction form
    6,978.24/9,630.63 = 3,834.90/x
  3. Step 3: Cross multiply
    6,978.24x = 9,630.63 × 3,834.90
  4. Step 4: Simplify right side
    6,978.24x = 36,932,502.99
  5. Step 5: Solve for x
    x = 36,932,502.99/6,978.24
  6. Step 6: Final answer
    x = 5,292.52

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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.