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Finding the Fourth Proportional to 1,219.98, 1,827.36 and 1,134.48

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Solution

The fourth proportional to 1,219.98, 1,827.36 and 1,134.48 is: 1,699.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.98 : 1,827.36 = 1,134.48 : x
  2. Step 2: Convert to fraction form
    1,219.98/1,827.36 = 1,134.48/x
  3. Step 3: Cross multiply
    1,219.98x = 1,827.36 × 1,134.48
  4. Step 4: Simplify right side
    1,219.98x = 2,073,103.37
  5. Step 5: Solve for x
    x = 2,073,103.37/1,219.98
  6. Step 6: Final answer
    x = 1,699.29

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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.