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Finding the Fourth Proportional to 2,993, 4,490.42 and 1,261.76

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Solution

The fourth proportional to 2,993, 4,490.42 and 1,261.76 is: 1,893.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993 : 4,490.42 = 1,261.76 : x
  2. Step 2: Convert to fraction form
    2,993/4,490.42 = 1,261.76/x
  3. Step 3: Cross multiply
    2,993x = 4,490.42 × 1,261.76
  4. Step 4: Simplify right side
    2,993x = 5,665,832.34
  5. Step 5: Solve for x
    x = 5,665,832.34/2,993
  6. Step 6: Final answer
    x = 1,893.03

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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.