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Finding the Fourth Proportional to 2,993.67, 4,491.09 and 913.77

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Solution

The fourth proportional to 2,993.67, 4,491.09 and 913.77 is: 1,370.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.67 : 4,491.09 = 913.77 : x
  2. Step 2: Convert to fraction form
    2,993.67/4,491.09 = 913.77/x
  3. Step 3: Cross multiply
    2,993.67x = 4,491.09 × 913.77
  4. Step 4: Simplify right side
    2,993.67x = 4,103,823.31
  5. Step 5: Solve for x
    x = 4,103,823.31/2,993.67
  6. Step 6: Final answer
    x = 1,370.83

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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.