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Finding the Fourth Proportional to 3,674.34, 5,510.34 and 1,207.80

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Solution

The fourth proportional to 3,674.34, 5,510.34 and 1,207.80 is: 1,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.34 : 5,510.34 = 1,207.80 : x
  2. Step 2: Convert to fraction form
    3,674.34/5,510.34 = 1,207.80/x
  3. Step 3: Cross multiply
    3,674.34x = 5,510.34 × 1,207.80
  4. Step 4: Simplify right side
    3,674.34x = 6,655,388.65
  5. Step 5: Solve for x
    x = 6,655,388.65/3,674.34
  6. Step 6: Final answer
    x = 1,811.32

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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.