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Finding the Fourth Proportional to 5,147.74, 7,683.94 and 4,421.98

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Solution

The fourth proportional to 5,147.74, 7,683.94 and 4,421.98 is: 6,600.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.74 : 7,683.94 = 4,421.98 : x
  2. Step 2: Convert to fraction form
    5,147.74/7,683.94 = 4,421.98/x
  3. Step 3: Cross multiply
    5,147.74x = 7,683.94 × 4,421.98
  4. Step 4: Simplify right side
    5,147.74x = 33,978,229.00
  5. Step 5: Solve for x
    x = 33,978,229.00/5,147.74
  6. Step 6: Final answer
    x = 6,600.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.