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Finding the Fourth Proportional to 2,993.77, 4,490.90 and 913.96

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Solution

The fourth proportional to 2,993.77, 4,490.90 and 913.96 is: 1,371.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.77 : 4,490.90 = 913.96 : x
  2. Step 2: Convert to fraction form
    2,993.77/4,490.90 = 913.96/x
  3. Step 3: Cross multiply
    2,993.77x = 4,490.90 × 913.96
  4. Step 4: Simplify right side
    2,993.77x = 4,104,502.96
  5. Step 5: Solve for x
    x = 4,104,502.96/2,993.77
  6. Step 6: Final answer
    x = 1,371.01

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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.