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Finding the Fourth Proportional to 2,993.78, 4,491.23 and 913.97

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Solution

The fourth proportional to 2,993.78, 4,491.23 and 913.97 is: 1,371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.78 : 4,491.23 = 913.97 : x
  2. Step 2: Convert to fraction form
    2,993.78/4,491.23 = 913.97/x
  3. Step 3: Cross multiply
    2,993.78x = 4,491.23 × 913.97
  4. Step 4: Simplify right side
    2,993.78x = 4,104,849.48
  5. Step 5: Solve for x
    x = 4,104,849.48/2,993.78
  6. Step 6: Final answer
    x = 1,371.13

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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.