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Finding the Fourth Proportional to 5,641.49, 8,449.39 and 4,855.23

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Solution

The fourth proportional to 5,641.49, 8,449.39 and 4,855.23 is: 7,271.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.49 : 8,449.39 = 4,855.23 : x
  2. Step 2: Convert to fraction form
    5,641.49/8,449.39 = 4,855.23/x
  3. Step 3: Cross multiply
    5,641.49x = 8,449.39 × 4,855.23
  4. Step 4: Simplify right side
    5,641.49x = 41,023,731.81
  5. Step 5: Solve for x
    x = 41,023,731.81/5,641.49
  6. Step 6: Final answer
    x = 7,271.79

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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.