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Finding the Fourth Proportional to 2,009, 2,772.90 and 1,181.48

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Solution

The fourth proportional to 2,009, 2,772.90 and 1,181.48 is: 1,630.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009 : 2,772.90 = 1,181.48 : x
  2. Step 2: Convert to fraction form
    2,009/2,772.90 = 1,181.48/x
  3. Step 3: Cross multiply
    2,009x = 2,772.90 × 1,181.48
  4. Step 4: Simplify right side
    2,009x = 3,276,125.89
  5. Step 5: Solve for x
    x = 3,276,125.89/2,009
  6. Step 6: Final answer
    x = 1,630.72

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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.