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Finding the Fourth Proportional to 1,518.46, 2,095.60 and 855.37

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Solution

The fourth proportional to 1,518.46, 2,095.60 and 855.37 is: 1,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.46 : 2,095.60 = 855.37 : x
  2. Step 2: Convert to fraction form
    1,518.46/2,095.60 = 855.37/x
  3. Step 3: Cross multiply
    1,518.46x = 2,095.60 × 855.37
  4. Step 4: Simplify right side
    1,518.46x = 1,792,505.99
  5. Step 5: Solve for x
    x = 1,792,505.99/1,518.46
  6. Step 6: Final answer
    x = 1,180.48

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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.