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Finding the Fourth Proportional to 3,684.66, 5,527.11 and 1,812.24

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Solution

The fourth proportional to 3,684.66, 5,527.11 and 1,812.24 is: 2,718.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.66 : 5,527.11 = 1,812.24 : x
  2. Step 2: Convert to fraction form
    3,684.66/5,527.11 = 1,812.24/x
  3. Step 3: Cross multiply
    3,684.66x = 5,527.11 × 1,812.24
  4. Step 4: Simplify right side
    3,684.66x = 10,016,449.83
  5. Step 5: Solve for x
    x = 10,016,449.83/3,684.66
  6. Step 6: Final answer
    x = 2,718.42

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1.5x scale

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.