Home / 1,234.06-1,848.92-1,100.14

Finding the Fourth Proportional to 1,234.06, 1,848.92 and 1,100.14

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Solution

The fourth proportional to 1,234.06, 1,848.92 and 1,100.14 is: 1,648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.06 : 1,848.92 = 1,100.14 : x
  2. Step 2: Convert to fraction form
    1,234.06/1,848.92 = 1,100.14/x
  3. Step 3: Cross multiply
    1,234.06x = 1,848.92 × 1,100.14
  4. Step 4: Simplify right side
    1,234.06x = 2,034,070.85
  5. Step 5: Solve for x
    x = 2,034,070.85/1,234.06
  6. Step 6: Final answer
    x = 1,648.28

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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.