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Finding the Fourth Proportional to 3,803.68, 5,706.08 and 1,205.76

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Solution

The fourth proportional to 3,803.68, 5,706.08 and 1,205.76 is: 1,808.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.68 : 5,706.08 = 1,205.76 : x
  2. Step 2: Convert to fraction form
    3,803.68/5,706.08 = 1,205.76/x
  3. Step 3: Cross multiply
    3,803.68x = 5,706.08 × 1,205.76
  4. Step 4: Simplify right side
    3,803.68x = 6,880,163.02
  5. Step 5: Solve for x
    x = 6,880,163.02/3,803.68
  6. Step 6: Final answer
    x = 1,808.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.