Home / 2,045.20-3,067.80-949.20

Finding the Fourth Proportional to 2,045.20, 3,067.80 and 949.20

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Solution

The fourth proportional to 2,045.20, 3,067.80 and 949.20 is: 1,423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.20 : 3,067.80 = 949.20 : x
  2. Step 2: Convert to fraction form
    2,045.20/3,067.80 = 949.20/x
  3. Step 3: Cross multiply
    2,045.20x = 3,067.80 × 949.20
  4. Step 4: Simplify right side
    2,045.20x = 2,911,955.76
  5. Step 5: Solve for x
    x = 2,911,955.76/2,045.20
  6. Step 6: Final answer
    x = 1,423.80

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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.