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Finding the Fourth Proportional to 5,384.75, 8,024.27 and 5,208.57

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Solution

The fourth proportional to 5,384.75, 8,024.27 and 5,208.57 is: 7,761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.75 : 8,024.27 = 5,208.57 : x
  2. Step 2: Convert to fraction form
    5,384.75/8,024.27 = 5,208.57/x
  3. Step 3: Cross multiply
    5,384.75x = 8,024.27 × 5,208.57
  4. Step 4: Simplify right side
    5,384.75x = 41,794,945.95
  5. Step 5: Solve for x
    x = 41,794,945.95/5,384.75
  6. Step 6: Final answer
    x = 7,761.73

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