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Finding the Fourth Proportional to 2,083.52, 3,119.09 and 1,259.29

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Solution

The fourth proportional to 2,083.52, 3,119.09 and 1,259.29 is: 1,885.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.52 : 3,119.09 = 1,259.29 : x
  2. Step 2: Convert to fraction form
    2,083.52/3,119.09 = 1,259.29/x
  3. Step 3: Cross multiply
    2,083.52x = 3,119.09 × 1,259.29
  4. Step 4: Simplify right side
    2,083.52x = 3,927,832.55
  5. Step 5: Solve for x
    x = 3,927,832.55/2,083.52
  6. Step 6: Final answer
    x = 1,885.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.