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Finding the Fourth Proportional to 7,849.76, 10,826.88 and 6,800

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Solution

The fourth proportional to 7,849.76, 10,826.88 and 6,800 is: 9,378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.76 : 10,826.88 = 6,800 : x
  2. Step 2: Convert to fraction form
    7,849.76/10,826.88 = 6,800/x
  3. Step 3: Cross multiply
    7,849.76x = 10,826.88 × 6,800
  4. Step 4: Simplify right side
    7,849.76x = 73,622,784
  5. Step 5: Solve for x
    x = 73,622,784/7,849.76
  6. Step 6: Final answer
    x = 9,378.99

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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.