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Finding the Fourth Proportional to 3,178.66, 4,771.08 and 1,948.48

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Solution

The fourth proportional to 3,178.66, 4,771.08 and 1,948.48 is: 2,924.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.66 : 4,771.08 = 1,948.48 : x
  2. Step 2: Convert to fraction form
    3,178.66/4,771.08 = 1,948.48/x
  3. Step 3: Cross multiply
    3,178.66x = 4,771.08 × 1,948.48
  4. Step 4: Simplify right side
    3,178.66x = 9,296,353.96
  5. Step 5: Solve for x
    x = 9,296,353.96/3,178.66
  6. Step 6: Final answer
    x = 2,924.61

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Why These Related Problems?

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