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Finding the Fourth Proportional to 6,438.63, 9,658.00 and 2,278.67

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Solution

The fourth proportional to 6,438.63, 9,658.00 and 2,278.67 is: 3,418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.63 : 9,658.00 = 2,278.67 : x
  2. Step 2: Convert to fraction form
    6,438.63/9,658.00 = 2,278.67/x
  3. Step 3: Cross multiply
    6,438.63x = 9,658.00 × 2,278.67
  4. Step 4: Simplify right side
    6,438.63x = 22,007,349.42
  5. Step 5: Solve for x
    x = 22,007,349.42/6,438.63
  6. Step 6: Final answer
    x = 3,418.02

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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.