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Finding the Fourth Proportional to 3,178.54, 4,767.87 and 987.21

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Solution

The fourth proportional to 3,178.54, 4,767.87 and 987.21 is: 1,480.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.54 : 4,767.87 = 987.21 : x
  2. Step 2: Convert to fraction form
    3,178.54/4,767.87 = 987.21/x
  3. Step 3: Cross multiply
    3,178.54x = 4,767.87 × 987.21
  4. Step 4: Simplify right side
    3,178.54x = 4,706,888.94
  5. Step 5: Solve for x
    x = 4,706,888.94/3,178.54
  6. Step 6: Final answer
    x = 1,480.83

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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.