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Finding the Fourth Proportional to 3,074.58, 4,613.58 and 1,905.22

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Solution

The fourth proportional to 3,074.58, 4,613.58 and 1,905.22 is: 2,858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.58 : 4,613.58 = 1,905.22 : x
  2. Step 2: Convert to fraction form
    3,074.58/4,613.58 = 1,905.22/x
  3. Step 3: Cross multiply
    3,074.58x = 4,613.58 × 1,905.22
  4. Step 4: Simplify right side
    3,074.58x = 8,789,896.01
  5. Step 5: Solve for x
    x = 8,789,896.01/3,074.58
  6. Step 6: Final answer
    x = 2,858.89

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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.