Home / 7,112.36-10,668.49-3,827

Finding the Fourth Proportional to 7,112.36, 10,668.49 and 3,827

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Solution

The fourth proportional to 7,112.36, 10,668.49 and 3,827 is: 5,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.36 : 10,668.49 = 3,827 : x
  2. Step 2: Convert to fraction form
    7,112.36/10,668.49 = 3,827/x
  3. Step 3: Cross multiply
    7,112.36x = 10,668.49 × 3,827
  4. Step 4: Simplify right side
    7,112.36x = 40,828,311.23
  5. Step 5: Solve for x
    x = 40,828,311.23/7,112.36
  6. Step 6: Final answer
    x = 5,740.47

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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.