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Finding the Fourth Proportional to 2,199.94, 3,035.93 and 1,205.22

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Solution

The fourth proportional to 2,199.94, 3,035.93 and 1,205.22 is: 1,663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.94 : 3,035.93 = 1,205.22 : x
  2. Step 2: Convert to fraction form
    2,199.94/3,035.93 = 1,205.22/x
  3. Step 3: Cross multiply
    2,199.94x = 3,035.93 × 1,205.22
  4. Step 4: Simplify right side
    2,199.94x = 3,658,957.53
  5. Step 5: Solve for x
    x = 3,658,957.53/2,199.94
  6. Step 6: Final answer
    x = 1,663.21

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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.