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Finding the Fourth Proportional to 2,115.96, 2,920.50 and 1,231.89

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Solution

The fourth proportional to 2,115.96, 2,920.50 and 1,231.89 is: 1,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.96 : 2,920.50 = 1,231.89 : x
  2. Step 2: Convert to fraction form
    2,115.96/2,920.50 = 1,231.89/x
  3. Step 3: Cross multiply
    2,115.96x = 2,920.50 × 1,231.89
  4. Step 4: Simplify right side
    2,115.96x = 3,597,734.75
  5. Step 5: Solve for x
    x = 3,597,734.75/2,115.96
  6. Step 6: Final answer
    x = 1,700.28

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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.