Home / 2,949-4,423.44-1,282.78

Finding the Fourth Proportional to 2,949, 4,423.44 and 1,282.78

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Solution

The fourth proportional to 2,949, 4,423.44 and 1,282.78 is: 1,924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949 : 4,423.44 = 1,282.78 : x
  2. Step 2: Convert to fraction form
    2,949/4,423.44 = 1,282.78/x
  3. Step 3: Cross multiply
    2,949x = 4,423.44 × 1,282.78
  4. Step 4: Simplify right side
    2,949x = 5,674,300.36
  5. Step 5: Solve for x
    x = 5,674,300.36/2,949
  6. Step 6: Final answer
    x = 1,924.14

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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.