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Finding the Fourth Proportional to 3,998.49, 5,998.32 and 1,225.38

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Solution

The fourth proportional to 3,998.49, 5,998.32 and 1,225.38 is: 1,838.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.49 : 5,998.32 = 1,225.38 : x
  2. Step 2: Convert to fraction form
    3,998.49/5,998.32 = 1,225.38/x
  3. Step 3: Cross multiply
    3,998.49x = 5,998.32 × 1,225.38
  4. Step 4: Simplify right side
    3,998.49x = 7,350,230.61
  5. Step 5: Solve for x
    x = 7,350,230.61/3,998.49
  6. Step 6: Final answer
    x = 1,838.25

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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.