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Finding the Fourth Proportional to 2,306.86, 3,458.61 and 919.78

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Solution

The fourth proportional to 2,306.86, 3,458.61 and 919.78 is: 1,379.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.86 : 3,458.61 = 919.78 : x
  2. Step 2: Convert to fraction form
    2,306.86/3,458.61 = 919.78/x
  3. Step 3: Cross multiply
    2,306.86x = 3,458.61 × 919.78
  4. Step 4: Simplify right side
    2,306.86x = 3,181,164.84
  5. Step 5: Solve for x
    x = 3,181,164.84/2,306.86
  6. Step 6: Final answer
    x = 1,379.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.