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Finding the Fourth Proportional to 2,008.02, 2,772.42 and 1,310.60

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Solution

The fourth proportional to 2,008.02, 2,772.42 and 1,310.60 is: 1,809.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.02 : 2,772.42 = 1,310.60 : x
  2. Step 2: Convert to fraction form
    2,008.02/2,772.42 = 1,310.60/x
  3. Step 3: Cross multiply
    2,008.02x = 2,772.42 × 1,310.60
  4. Step 4: Simplify right side
    2,008.02x = 3,633,533.65
  5. Step 5: Solve for x
    x = 3,633,533.65/2,008.02
  6. Step 6: Final answer
    x = 1,809.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.