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Finding the Fourth Proportional to 3,969.78, 5,954.56 and 1,048.11

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Solution

The fourth proportional to 3,969.78, 5,954.56 and 1,048.11 is: 1,572.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.78 : 5,954.56 = 1,048.11 : x
  2. Step 2: Convert to fraction form
    3,969.78/5,954.56 = 1,048.11/x
  3. Step 3: Cross multiply
    3,969.78x = 5,954.56 × 1,048.11
  4. Step 4: Simplify right side
    3,969.78x = 6,241,014.83
  5. Step 5: Solve for x
    x = 6,241,014.83/3,969.78
  6. Step 6: Final answer
    x = 1,572.13

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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.