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Finding the Fourth Proportional to 1,750.14, 2,626.02 and 1,091.86

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Solution

The fourth proportional to 1,750.14, 2,626.02 and 1,091.86 is: 1,638.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.14 : 2,626.02 = 1,091.86 : x
  2. Step 2: Convert to fraction form
    1,750.14/2,626.02 = 1,091.86/x
  3. Step 3: Cross multiply
    1,750.14x = 2,626.02 × 1,091.86
  4. Step 4: Simplify right side
    1,750.14x = 2,867,239.63
  5. Step 5: Solve for x
    x = 2,867,239.63/1,750.14
  6. Step 6: Final answer
    x = 1,638.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.