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Finding the Fourth Proportional to 5,183.98, 7,775.76 and 1,897

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Solution

The fourth proportional to 5,183.98, 7,775.76 and 1,897 is: 2,845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.98 : 7,775.76 = 1,897 : x
  2. Step 2: Convert to fraction form
    5,183.98/7,775.76 = 1,897/x
  3. Step 3: Cross multiply
    5,183.98x = 7,775.76 × 1,897
  4. Step 4: Simplify right side
    5,183.98x = 14,750,616.72
  5. Step 5: Solve for x
    x = 14,750,616.72/5,183.98
  6. Step 6: Final answer
    x = 2,845.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.