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Finding the Fourth Proportional to 3,764.90, 5,647.50 and 1,424.67

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Solution

The fourth proportional to 3,764.90, 5,647.50 and 1,424.67 is: 2,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.90 : 5,647.50 = 1,424.67 : x
  2. Step 2: Convert to fraction form
    3,764.90/5,647.50 = 1,424.67/x
  3. Step 3: Cross multiply
    3,764.90x = 5,647.50 × 1,424.67
  4. Step 4: Simplify right side
    3,764.90x = 8,045,823.83
  5. Step 5: Solve for x
    x = 8,045,823.83/3,764.90
  6. Step 6: Final answer
    x = 2,137.06

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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.