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Finding the Fourth Proportional to 2,383, 3,574.62 and 844.12

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Solution

The fourth proportional to 2,383, 3,574.62 and 844.12 is: 1,266.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383 : 3,574.62 = 844.12 : x
  2. Step 2: Convert to fraction form
    2,383/3,574.62 = 844.12/x
  3. Step 3: Cross multiply
    2,383x = 3,574.62 × 844.12
  4. Step 4: Simplify right side
    2,383x = 3,017,408.23
  5. Step 5: Solve for x
    x = 3,017,408.23/2,383
  6. Step 6: Final answer
    x = 1,266.22

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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.