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Finding the Fourth Proportional to 1,805.85, 2,705.34 and 1,440.21

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Solution

The fourth proportional to 1,805.85, 2,705.34 and 1,440.21 is: 2,157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.85 : 2,705.34 = 1,440.21 : x
  2. Step 2: Convert to fraction form
    1,805.85/2,705.34 = 1,440.21/x
  3. Step 3: Cross multiply
    1,805.85x = 2,705.34 × 1,440.21
  4. Step 4: Simplify right side
    1,805.85x = 3,896,257.72
  5. Step 5: Solve for x
    x = 3,896,257.72/1,805.85
  6. Step 6: Final answer
    x = 2,157.58

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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.