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Finding the Fourth Proportional to 3,650.34, 5,476 and 1,184.34

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Solution

The fourth proportional to 3,650.34, 5,476 and 1,184.34 is: 1,776.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.34 : 5,476 = 1,184.34 : x
  2. Step 2: Convert to fraction form
    3,650.34/5,476 = 1,184.34/x
  3. Step 3: Cross multiply
    3,650.34x = 5,476 × 1,184.34
  4. Step 4: Simplify right side
    3,650.34x = 6,485,445.84
  5. Step 5: Solve for x
    x = 6,485,445.84/3,650.34
  6. Step 6: Final answer
    x = 1,776.67

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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.