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Finding the Fourth Proportional to 7,693.50, 11,536.12 and 3,986.54

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Solution

The fourth proportional to 7,693.50, 11,536.12 and 3,986.54 is: 5,977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.50 : 11,536.12 = 3,986.54 : x
  2. Step 2: Convert to fraction form
    7,693.50/11,536.12 = 3,986.54/x
  3. Step 3: Cross multiply
    7,693.50x = 11,536.12 × 3,986.54
  4. Step 4: Simplify right side
    7,693.50x = 45,989,203.82
  5. Step 5: Solve for x
    x = 45,989,203.82/7,693.50
  6. Step 6: Final answer
    x = 5,977.67

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1.5x scale

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.