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Finding the Fourth Proportional to 2,947.80, 4,419.99 and 998.94

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Solution

The fourth proportional to 2,947.80, 4,419.99 and 998.94 is: 1,497.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.80 : 4,419.99 = 998.94 : x
  2. Step 2: Convert to fraction form
    2,947.80/4,419.99 = 998.94/x
  3. Step 3: Cross multiply
    2,947.80x = 4,419.99 × 998.94
  4. Step 4: Simplify right side
    2,947.80x = 4,415,304.81
  5. Step 5: Solve for x
    x = 4,415,304.81/2,947.80
  6. Step 6: Final answer
    x = 1,497.83

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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.