Home / 1,474.21-2,209.58-946.43

Finding the Fourth Proportional to 1,474.21, 2,209.58 and 946.43

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Solution

The fourth proportional to 1,474.21, 2,209.58 and 946.43 is: 1,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.21 : 2,209.58 = 946.43 : x
  2. Step 2: Convert to fraction form
    1,474.21/2,209.58 = 946.43/x
  3. Step 3: Cross multiply
    1,474.21x = 2,209.58 × 946.43
  4. Step 4: Simplify right side
    1,474.21x = 2,091,207.30
  5. Step 5: Solve for x
    x = 2,091,207.30/1,474.21
  6. Step 6: Final answer
    x = 1,418.53

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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.