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Finding the Fourth Proportional to 2,611.02, 3,913.64 and 1,223.22

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Solution

The fourth proportional to 2,611.02, 3,913.64 and 1,223.22 is: 1,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.02 : 3,913.64 = 1,223.22 : x
  2. Step 2: Convert to fraction form
    2,611.02/3,913.64 = 1,223.22/x
  3. Step 3: Cross multiply
    2,611.02x = 3,913.64 × 1,223.22
  4. Step 4: Simplify right side
    2,611.02x = 4,787,242.72
  5. Step 5: Solve for x
    x = 4,787,242.72/2,611.02
  6. Step 6: Final answer
    x = 1,833.48

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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.