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Finding the Fourth Proportional to 5,629.81, 8,450.01 and 2,858.47

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Solution

The fourth proportional to 5,629.81, 8,450.01 and 2,858.47 is: 4,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.81 : 8,450.01 = 2,858.47 : x
  2. Step 2: Convert to fraction form
    5,629.81/8,450.01 = 2,858.47/x
  3. Step 3: Cross multiply
    5,629.81x = 8,450.01 × 2,858.47
  4. Step 4: Simplify right side
    5,629.81x = 24,154,043.54
  5. Step 5: Solve for x
    x = 24,154,043.54/5,629.81
  6. Step 6: Final answer
    x = 4,290.39

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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.