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Finding the Fourth Proportional to 3,940.76, 5,911.68 and 1,343

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Solution

The fourth proportional to 3,940.76, 5,911.68 and 1,343 is: 2,014.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.76 : 5,911.68 = 1,343 : x
  2. Step 2: Convert to fraction form
    3,940.76/5,911.68 = 1,343/x
  3. Step 3: Cross multiply
    3,940.76x = 5,911.68 × 1,343
  4. Step 4: Simplify right side
    3,940.76x = 7,939,386.24
  5. Step 5: Solve for x
    x = 7,939,386.24/3,940.76
  6. Step 6: Final answer
    x = 2,014.68

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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.