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Finding the Fourth Proportional to 3,311, 4,569.02 and 1,984.45

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Solution

The fourth proportional to 3,311, 4,569.02 and 1,984.45 is: 2,738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311 : 4,569.02 = 1,984.45 : x
  2. Step 2: Convert to fraction form
    3,311/4,569.02 = 1,984.45/x
  3. Step 3: Cross multiply
    3,311x = 4,569.02 × 1,984.45
  4. Step 4: Simplify right side
    3,311x = 9,066,958.97
  5. Step 5: Solve for x
    x = 9,066,958.97/3,311
  6. Step 6: Final answer
    x = 2,738.44

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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.