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Finding the Fourth Proportional to 6,441.78, 9,662.64 and 2,000.40

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Solution

The fourth proportional to 6,441.78, 9,662.64 and 2,000.40 is: 3,000.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.78 : 9,662.64 = 2,000.40 : x
  2. Step 2: Convert to fraction form
    6,441.78/9,662.64 = 2,000.40/x
  3. Step 3: Cross multiply
    6,441.78x = 9,662.64 × 2,000.40
  4. Step 4: Simplify right side
    6,441.78x = 19,329,112.57
  5. Step 5: Solve for x
    x = 19,329,112.57/6,441.78
  6. Step 6: Final answer
    x = 3,000.59

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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.