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Finding the Fourth Proportional to 5,777, 8,665.51 and 1,394.45

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Solution

The fourth proportional to 5,777, 8,665.51 and 1,394.45 is: 2,091.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777 : 8,665.51 = 1,394.45 : x
  2. Step 2: Convert to fraction form
    5,777/8,665.51 = 1,394.45/x
  3. Step 3: Cross multiply
    5,777x = 8,665.51 × 1,394.45
  4. Step 4: Simplify right side
    5,777x = 12,083,620.42
  5. Step 5: Solve for x
    x = 12,083,620.42/5,777
  6. Step 6: Final answer
    x = 2,091.68

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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.