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Finding the Fourth Proportional to 6,438.44, 9,660.72 and 3,516.67

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Solution

The fourth proportional to 6,438.44, 9,660.72 and 3,516.67 is: 5,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.44 : 9,660.72 = 3,516.67 : x
  2. Step 2: Convert to fraction form
    6,438.44/9,660.72 = 3,516.67/x
  3. Step 3: Cross multiply
    6,438.44x = 9,660.72 × 3,516.67
  4. Step 4: Simplify right side
    6,438.44x = 33,973,515.34
  5. Step 5: Solve for x
    x = 33,973,515.34/6,438.44
  6. Step 6: Final answer
    x = 5,276.67

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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.