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Finding the Fourth Proportional to 3,338.63, 5,007.77 and 998.66

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Solution

The fourth proportional to 3,338.63, 5,007.77 and 998.66 is: 1,497.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.63 : 5,007.77 = 998.66 : x
  2. Step 2: Convert to fraction form
    3,338.63/5,007.77 = 998.66/x
  3. Step 3: Cross multiply
    3,338.63x = 5,007.77 × 998.66
  4. Step 4: Simplify right side
    3,338.63x = 5,001,076.48
  5. Step 5: Solve for x
    x = 5,001,076.48/3,338.63
  6. Step 6: Final answer
    x = 1,497.94

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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.