Home / 2,048.20-3,072.30-749.14

Finding the Fourth Proportional to 2,048.20, 3,072.30 and 749.14

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Solution

The fourth proportional to 2,048.20, 3,072.30 and 749.14 is: 1,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.20 : 3,072.30 = 749.14 : x
  2. Step 2: Convert to fraction form
    2,048.20/3,072.30 = 749.14/x
  3. Step 3: Cross multiply
    2,048.20x = 3,072.30 × 749.14
  4. Step 4: Simplify right side
    2,048.20x = 2,301,582.82
  5. Step 5: Solve for x
    x = 2,301,582.82/2,048.20
  6. Step 6: Final answer
    x = 1,123.71

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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.