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Finding the Fourth Proportional to 2,938.62, 4,401.81 and 1,764.90

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Solution

The fourth proportional to 2,938.62, 4,401.81 and 1,764.90 is: 2,643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.62 : 4,401.81 = 1,764.90 : x
  2. Step 2: Convert to fraction form
    2,938.62/4,401.81 = 1,764.90/x
  3. Step 3: Cross multiply
    2,938.62x = 4,401.81 × 1,764.90
  4. Step 4: Simplify right side
    2,938.62x = 7,768,754.47
  5. Step 5: Solve for x
    x = 7,768,754.47/2,938.62
  6. Step 6: Final answer
    x = 2,643.67

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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.