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Finding the Fourth Proportional to 6,440.96, 9,662.95 and 1,998.40

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Solution

The fourth proportional to 6,440.96, 9,662.95 and 1,998.40 is: 2,998.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.96 : 9,662.95 = 1,998.40 : x
  2. Step 2: Convert to fraction form
    6,440.96/9,662.95 = 1,998.40/x
  3. Step 3: Cross multiply
    6,440.96x = 9,662.95 × 1,998.40
  4. Step 4: Simplify right side
    6,440.96x = 19,310,440.54
  5. Step 5: Solve for x
    x = 19,310,440.54/6,440.96
  6. Step 6: Final answer
    x = 2,998.07

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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.