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Finding the Fourth Proportional to 1,234.56, 1,842.90 and 1,143.11

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Solution

The fourth proportional to 1,234.56, 1,842.90 and 1,143.11 is: 1,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.56 : 1,842.90 = 1,143.11 : x
  2. Step 2: Convert to fraction form
    1,234.56/1,842.90 = 1,143.11/x
  3. Step 3: Cross multiply
    1,234.56x = 1,842.90 × 1,143.11
  4. Step 4: Simplify right side
    1,234.56x = 2,106,631.70
  5. Step 5: Solve for x
    x = 2,106,631.70/1,234.56
  6. Step 6: Final answer
    x = 1,706.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.