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Finding the Fourth Proportional to 1,376.80, 1,900.36 and 852.54

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Solution

The fourth proportional to 1,376.80, 1,900.36 and 852.54 is: 1,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.80 : 1,900.36 = 852.54 : x
  2. Step 2: Convert to fraction form
    1,376.80/1,900.36 = 852.54/x
  3. Step 3: Cross multiply
    1,376.80x = 1,900.36 × 852.54
  4. Step 4: Simplify right side
    1,376.80x = 1,620,128.65
  5. Step 5: Solve for x
    x = 1,620,128.65/1,376.80
  6. Step 6: Final answer
    x = 1,176.73

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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.