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Finding the Fourth Proportional to 2,666.37, 3,676.82 and 1,923.87

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Solution

The fourth proportional to 2,666.37, 3,676.82 and 1,923.87 is: 2,652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.37 : 3,676.82 = 1,923.87 : x
  2. Step 2: Convert to fraction form
    2,666.37/3,676.82 = 1,923.87/x
  3. Step 3: Cross multiply
    2,666.37x = 3,676.82 × 1,923.87
  4. Step 4: Simplify right side
    2,666.37x = 7,073,714.07
  5. Step 5: Solve for x
    x = 7,073,714.07/2,666.37
  6. Step 6: Final answer
    x = 2,652.94

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