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Finding the Fourth Proportional to 6,800.50, 9,384.86 and 3,816.56

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Solution

The fourth proportional to 6,800.50, 9,384.86 and 3,816.56 is: 5,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.50 : 9,384.86 = 3,816.56 : x
  2. Step 2: Convert to fraction form
    6,800.50/9,384.86 = 3,816.56/x
  3. Step 3: Cross multiply
    6,800.50x = 9,384.86 × 3,816.56
  4. Step 4: Simplify right side
    6,800.50x = 35,817,914.29
  5. Step 5: Solve for x
    x = 35,817,914.29/6,800.50
  6. Step 6: Final answer
    x = 5,266.95

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1.5x scale

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.