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Finding the Fourth Proportional to 2,193.52, 3,027.40 and 1,408.40

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Solution

The fourth proportional to 2,193.52, 3,027.40 and 1,408.40 is: 1,943.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.52 : 3,027.40 = 1,408.40 : x
  2. Step 2: Convert to fraction form
    2,193.52/3,027.40 = 1,408.40/x
  3. Step 3: Cross multiply
    2,193.52x = 3,027.40 × 1,408.40
  4. Step 4: Simplify right side
    2,193.52x = 4,263,790.16
  5. Step 5: Solve for x
    x = 4,263,790.16/2,193.52
  6. Step 6: Final answer
    x = 1,943.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.