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Finding the Fourth Proportional to 6,090.77, 8,405.21 and 3,438.69

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Solution

The fourth proportional to 6,090.77, 8,405.21 and 3,438.69 is: 4,745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.77 : 8,405.21 = 3,438.69 : x
  2. Step 2: Convert to fraction form
    6,090.77/8,405.21 = 3,438.69/x
  3. Step 3: Cross multiply
    6,090.77x = 8,405.21 × 3,438.69
  4. Step 4: Simplify right side
    6,090.77x = 28,902,920.17
  5. Step 5: Solve for x
    x = 28,902,920.17/6,090.77
  6. Step 6: Final answer
    x = 4,745.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.