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Finding the Fourth Proportional to 3,338.28, 5,008.14 and 998.47

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Solution

The fourth proportional to 3,338.28, 5,008.14 and 998.47 is: 1,497.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.28 : 5,008.14 = 998.47 : x
  2. Step 2: Convert to fraction form
    3,338.28/5,008.14 = 998.47/x
  3. Step 3: Cross multiply
    3,338.28x = 5,008.14 × 998.47
  4. Step 4: Simplify right side
    3,338.28x = 5,000,447.51
  5. Step 5: Solve for x
    x = 5,000,447.51/3,338.28
  6. Step 6: Final answer
    x = 1,497.91

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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.