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Finding the Fourth Proportional to 2,085.70, 2,878.24 and 1,201.48

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Solution

The fourth proportional to 2,085.70, 2,878.24 and 1,201.48 is: 1,658.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.70 : 2,878.24 = 1,201.48 : x
  2. Step 2: Convert to fraction form
    2,085.70/2,878.24 = 1,201.48/x
  3. Step 3: Cross multiply
    2,085.70x = 2,878.24 × 1,201.48
  4. Step 4: Simplify right side
    2,085.70x = 3,458,147.80
  5. Step 5: Solve for x
    x = 3,458,147.80/2,085.70
  6. Step 6: Final answer
    x = 1,658.03

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1.5x scale

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.