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Finding the Fourth Proportional to 4,000.54, 5,998.28 and 1,226.28

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Solution

The fourth proportional to 4,000.54, 5,998.28 and 1,226.28 is: 1,838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.54 : 5,998.28 = 1,226.28 : x
  2. Step 2: Convert to fraction form
    4,000.54/5,998.28 = 1,226.28/x
  3. Step 3: Cross multiply
    4,000.54x = 5,998.28 × 1,226.28
  4. Step 4: Simplify right side
    4,000.54x = 7,355,570.80
  5. Step 5: Solve for x
    x = 7,355,570.80/4,000.54
  6. Step 6: Final answer
    x = 1,838.64

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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.