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Finding the Fourth Proportional to 6,981.94, 9,635.02 and 3,838.06

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Solution

The fourth proportional to 6,981.94, 9,635.02 and 3,838.06 is: 5,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.94 : 9,635.02 = 3,838.06 : x
  2. Step 2: Convert to fraction form
    6,981.94/9,635.02 = 3,838.06/x
  3. Step 3: Cross multiply
    6,981.94x = 9,635.02 × 3,838.06
  4. Step 4: Simplify right side
    6,981.94x = 36,979,784.86
  5. Step 5: Solve for x
    x = 36,979,784.86/6,981.94
  6. Step 6: Final answer
    x = 5,296.49

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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.