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Finding the Fourth Proportional to 3,998.70, 5,998.12 and 1,225.87

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Solution

The fourth proportional to 3,998.70, 5,998.12 and 1,225.87 is: 1,838.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.70 : 5,998.12 = 1,225.87 : x
  2. Step 2: Convert to fraction form
    3,998.70/5,998.12 = 1,225.87/x
  3. Step 3: Cross multiply
    3,998.70x = 5,998.12 × 1,225.87
  4. Step 4: Simplify right side
    3,998.70x = 7,352,897.30
  5. Step 5: Solve for x
    x = 7,352,897.30/3,998.70
  6. Step 6: Final answer
    x = 1,838.82

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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.