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Finding the Fourth Proportional to 3,674.64, 5,510.78 and 1,208.88

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Solution

The fourth proportional to 3,674.64, 5,510.78 and 1,208.88 is: 1,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.64 : 5,510.78 = 1,208.88 : x
  2. Step 2: Convert to fraction form
    3,674.64/5,510.78 = 1,208.88/x
  3. Step 3: Cross multiply
    3,674.64x = 5,510.78 × 1,208.88
  4. Step 4: Simplify right side
    3,674.64x = 6,661,871.73
  5. Step 5: Solve for x
    x = 6,661,871.73/3,674.64
  6. Step 6: Final answer
    x = 1,812.93

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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.