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Finding the Fourth Proportional to 2,676.32, 4,009.28 and 1,972.25

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Solution

The fourth proportional to 2,676.32, 4,009.28 and 1,972.25 is: 2,954.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.32 : 4,009.28 = 1,972.25 : x
  2. Step 2: Convert to fraction form
    2,676.32/4,009.28 = 1,972.25/x
  3. Step 3: Cross multiply
    2,676.32x = 4,009.28 × 1,972.25
  4. Step 4: Simplify right side
    2,676.32x = 7,907,282.43
  5. Step 5: Solve for x
    x = 7,907,282.43/2,676.32
  6. Step 6: Final answer
    x = 2,954.54

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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.