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Finding the Fourth Proportional to 5,305.41, 7,959.78 and 1,608.03

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Solution

The fourth proportional to 5,305.41, 7,959.78 and 1,608.03 is: 2,412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.41 : 7,959.78 = 1,608.03 : x
  2. Step 2: Convert to fraction form
    5,305.41/7,959.78 = 1,608.03/x
  3. Step 3: Cross multiply
    5,305.41x = 7,959.78 × 1,608.03
  4. Step 4: Simplify right side
    5,305.41x = 12,799,565.03
  5. Step 5: Solve for x
    x = 12,799,565.03/5,305.41
  6. Step 6: Final answer
    x = 2,412.55

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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.