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Finding the Fourth Proportional to 3,960.38, 5,940.54 and 1,187

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Solution

The fourth proportional to 3,960.38, 5,940.54 and 1,187 is: 1,780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.38 : 5,940.54 = 1,187 : x
  2. Step 2: Convert to fraction form
    3,960.38/5,940.54 = 1,187/x
  3. Step 3: Cross multiply
    3,960.38x = 5,940.54 × 1,187
  4. Step 4: Simplify right side
    3,960.38x = 7,051,420.98
  5. Step 5: Solve for x
    x = 7,051,420.98/3,960.38
  6. Step 6: Final answer
    x = 1,780.49

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1.5x scale

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.