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Finding the Fourth Proportional to 3,803.76, 5,706.44 and 1,206.64

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Solution

The fourth proportional to 3,803.76, 5,706.44 and 1,206.64 is: 1,810.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.76 : 5,706.44 = 1,206.64 : x
  2. Step 2: Convert to fraction form
    3,803.76/5,706.44 = 1,206.64/x
  3. Step 3: Cross multiply
    3,803.76x = 5,706.44 × 1,206.64
  4. Step 4: Simplify right side
    3,803.76x = 6,885,618.76
  5. Step 5: Solve for x
    x = 6,885,618.76/3,803.76
  6. Step 6: Final answer
    x = 1,810.21

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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.