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Finding the Fourth Proportional to 2,006.40, 3,009.60 and 1,641.60

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Solution

The fourth proportional to 2,006.40, 3,009.60 and 1,641.60 is: 2,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.40 : 3,009.60 = 1,641.60 : x
  2. Step 2: Convert to fraction form
    2,006.40/3,009.60 = 1,641.60/x
  3. Step 3: Cross multiply
    2,006.40x = 3,009.60 × 1,641.60
  4. Step 4: Simplify right side
    2,006.40x = 4,940,559.36
  5. Step 5: Solve for x
    x = 4,940,559.36/2,006.40
  6. Step 6: Final answer
    x = 2,462.40

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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.