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Finding the Fourth Proportional to 5,751.74, 8,628.50 and 1,856.54

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Solution

The fourth proportional to 5,751.74, 8,628.50 and 1,856.54 is: 2,785.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.74 : 8,628.50 = 1,856.54 : x
  2. Step 2: Convert to fraction form
    5,751.74/8,628.50 = 1,856.54/x
  3. Step 3: Cross multiply
    5,751.74x = 8,628.50 × 1,856.54
  4. Step 4: Simplify right side
    5,751.74x = 16,019,102.96
  5. Step 5: Solve for x
    x = 16,019,102.96/5,751.74
  6. Step 6: Final answer
    x = 2,785.09

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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.