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Finding the Fourth Proportional to 2,611.05, 3,604.23 and 1,728.06

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Solution

The fourth proportional to 2,611.05, 3,604.23 and 1,728.06 is: 2,385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.05 : 3,604.23 = 1,728.06 : x
  2. Step 2: Convert to fraction form
    2,611.05/3,604.23 = 1,728.06/x
  3. Step 3: Cross multiply
    2,611.05x = 3,604.23 × 1,728.06
  4. Step 4: Simplify right side
    2,611.05x = 6,228,325.69
  5. Step 5: Solve for x
    x = 6,228,325.69/2,611.05
  6. Step 6: Final answer
    x = 2,385.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.