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Finding the Fourth Proportional to 4,491.75, 6,734.72 and 1,858.55

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Solution

The fourth proportional to 4,491.75, 6,734.72 and 1,858.55 is: 2,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.75 : 6,734.72 = 1,858.55 : x
  2. Step 2: Convert to fraction form
    4,491.75/6,734.72 = 1,858.55/x
  3. Step 3: Cross multiply
    4,491.75x = 6,734.72 × 1,858.55
  4. Step 4: Simplify right side
    4,491.75x = 12,516,779.60
  5. Step 5: Solve for x
    x = 12,516,779.60/4,491.75
  6. Step 6: Final answer
    x = 2,786.61

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Why These Related Problems?

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