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Finding the Fourth Proportional to 2,993.42, 4,490.11 and 913.41

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Solution

The fourth proportional to 2,993.42, 4,490.11 and 913.41 is: 1,370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.42 : 4,490.11 = 913.41 : x
  2. Step 2: Convert to fraction form
    2,993.42/4,490.11 = 913.41/x
  3. Step 3: Cross multiply
    2,993.42x = 4,490.11 × 913.41
  4. Step 4: Simplify right side
    2,993.42x = 4,101,322.92
  5. Step 5: Solve for x
    x = 4,101,322.92/2,993.42
  6. Step 6: Final answer
    x = 1,370.11

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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.