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Finding the Fourth Proportional to 2,654.64, 3,661.44 and 1,709.82

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Solution

The fourth proportional to 2,654.64, 3,661.44 and 1,709.82 is: 2,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.64 : 3,661.44 = 1,709.82 : x
  2. Step 2: Convert to fraction form
    2,654.64/3,661.44 = 1,709.82/x
  3. Step 3: Cross multiply
    2,654.64x = 3,661.44 × 1,709.82
  4. Step 4: Simplify right side
    2,654.64x = 6,260,403.34
  5. Step 5: Solve for x
    x = 6,260,403.34/2,654.64
  6. Step 6: Final answer
    x = 2,358.29

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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.