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Finding the Fourth Proportional to 3,178.54, 4,383.48 and 1,981.99

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Solution

The fourth proportional to 3,178.54, 4,383.48 and 1,981.99 is: 2,733.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.54 : 4,383.48 = 1,981.99 : x
  2. Step 2: Convert to fraction form
    3,178.54/4,383.48 = 1,981.99/x
  3. Step 3: Cross multiply
    3,178.54x = 4,383.48 × 1,981.99
  4. Step 4: Simplify right side
    3,178.54x = 8,688,013.53
  5. Step 5: Solve for x
    x = 8,688,013.53/3,178.54
  6. Step 6: Final answer
    x = 2,733.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.