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Finding the Fourth Proportional to 2,773.44, 3,828.47 and 1,890.14

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Solution

The fourth proportional to 2,773.44, 3,828.47 and 1,890.14 is: 2,609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.44 : 3,828.47 = 1,890.14 : x
  2. Step 2: Convert to fraction form
    2,773.44/3,828.47 = 1,890.14/x
  3. Step 3: Cross multiply
    2,773.44x = 3,828.47 × 1,890.14
  4. Step 4: Simplify right side
    2,773.44x = 7,236,315.69
  5. Step 5: Solve for x
    x = 7,236,315.69/2,773.44
  6. Step 6: Final answer
    x = 2,609.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.