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Finding the Fourth Proportional to 2,071.75, 2,859.04 and 1,140.27

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Solution

The fourth proportional to 2,071.75, 2,859.04 and 1,140.27 is: 1,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.75 : 2,859.04 = 1,140.27 : x
  2. Step 2: Convert to fraction form
    2,071.75/2,859.04 = 1,140.27/x
  3. Step 3: Cross multiply
    2,071.75x = 2,859.04 × 1,140.27
  4. Step 4: Simplify right side
    2,071.75x = 3,260,071.84
  5. Step 5: Solve for x
    x = 3,260,071.84/2,071.75
  6. Step 6: Final answer
    x = 1,573.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.