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Finding the Fourth Proportional to 3,969.50, 5,953.66 and 1,048.01

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Solution

The fourth proportional to 3,969.50, 5,953.66 and 1,048.01 is: 1,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.50 : 5,953.66 = 1,048.01 : x
  2. Step 2: Convert to fraction form
    3,969.50/5,953.66 = 1,048.01/x
  3. Step 3: Cross multiply
    3,969.50x = 5,953.66 × 1,048.01
  4. Step 4: Simplify right side
    3,969.50x = 6,239,495.22
  5. Step 5: Solve for x
    x = 6,239,495.22/3,969.50
  6. Step 6: Final answer
    x = 1,571.86

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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.