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Finding the Fourth Proportional to 2,009.76, 2,771 and 1,635.96

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Solution

The fourth proportional to 2,009.76, 2,771 and 1,635.96 is: 2,255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.76 : 2,771 = 1,635.96 : x
  2. Step 2: Convert to fraction form
    2,009.76/2,771 = 1,635.96/x
  3. Step 3: Cross multiply
    2,009.76x = 2,771 × 1,635.96
  4. Step 4: Simplify right side
    2,009.76x = 4,533,245.16
  5. Step 5: Solve for x
    x = 4,533,245.16/2,009.76
  6. Step 6: Final answer
    x = 2,255.62

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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.