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Finding the Fourth Proportional to 1,900.47, 2,851 and 860.43

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Solution

The fourth proportional to 1,900.47, 2,851 and 860.43 is: 1,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.47 : 2,851 = 860.43 : x
  2. Step 2: Convert to fraction form
    1,900.47/2,851 = 860.43/x
  3. Step 3: Cross multiply
    1,900.47x = 2,851 × 860.43
  4. Step 4: Simplify right side
    1,900.47x = 2,453,085.93
  5. Step 5: Solve for x
    x = 2,453,085.93/1,900.47
  6. Step 6: Final answer
    x = 1,290.78

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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.