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Finding the Fourth Proportional to 5,169.21, 7,749.15 and 2,047.67

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Solution

The fourth proportional to 5,169.21, 7,749.15 and 2,047.67 is: 3,069.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.21 : 7,749.15 = 2,047.67 : x
  2. Step 2: Convert to fraction form
    5,169.21/7,749.15 = 2,047.67/x
  3. Step 3: Cross multiply
    5,169.21x = 7,749.15 × 2,047.67
  4. Step 4: Simplify right side
    5,169.21x = 15,867,701.98
  5. Step 5: Solve for x
    x = 15,867,701.98/5,169.21
  6. Step 6: Final answer
    x = 3,069.66

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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.