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Finding the Fourth Proportional to 2,993.12, 4,491.12 and 1,261.52

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Solution

The fourth proportional to 2,993.12, 4,491.12 and 1,261.52 is: 1,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.12 : 4,491.12 = 1,261.52 : x
  2. Step 2: Convert to fraction form
    2,993.12/4,491.12 = 1,261.52/x
  3. Step 3: Cross multiply
    2,993.12x = 4,491.12 × 1,261.52
  4. Step 4: Simplify right side
    2,993.12x = 5,665,637.70
  5. Step 5: Solve for x
    x = 5,665,637.70/2,993.12
  6. Step 6: Final answer
    x = 1,892.89

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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.