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Finding the Fourth Proportional to 6,438.45, 9,651.02 and 3,659.14

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Solution

The fourth proportional to 6,438.45, 9,651.02 and 3,659.14 is: 5,484.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.45 : 9,651.02 = 3,659.14 : x
  2. Step 2: Convert to fraction form
    6,438.45/9,651.02 = 3,659.14/x
  3. Step 3: Cross multiply
    6,438.45x = 9,651.02 × 3,659.14
  4. Step 4: Simplify right side
    6,438.45x = 35,314,390.90
  5. Step 5: Solve for x
    x = 35,314,390.90/6,438.45
  6. Step 6: Final answer
    x = 5,484.92

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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.