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Finding the Fourth Proportional to 2,071.92, 2,859.19 and 1,175.54

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Solution

The fourth proportional to 2,071.92, 2,859.19 and 1,175.54 is: 1,622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.92 : 2,859.19 = 1,175.54 : x
  2. Step 2: Convert to fraction form
    2,071.92/2,859.19 = 1,175.54/x
  3. Step 3: Cross multiply
    2,071.92x = 2,859.19 × 1,175.54
  4. Step 4: Simplify right side
    2,071.92x = 3,361,092.21
  5. Step 5: Solve for x
    x = 3,361,092.21/2,071.92
  6. Step 6: Final answer
    x = 1,622.21

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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.