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Finding the Fourth Proportional to 6,189.41, 8,539.63 and 4,064.38

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Solution

The fourth proportional to 6,189.41, 8,539.63 and 4,064.38 is: 5,607.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.41 : 8,539.63 = 4,064.38 : x
  2. Step 2: Convert to fraction form
    6,189.41/8,539.63 = 4,064.38/x
  3. Step 3: Cross multiply
    6,189.41x = 8,539.63 × 4,064.38
  4. Step 4: Simplify right side
    6,189.41x = 34,708,269.87
  5. Step 5: Solve for x
    x = 34,708,269.87/6,189.41
  6. Step 6: Final answer
    x = 5,607.68

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Why These Related Problems?

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