Home / 6,802.16-10,196.70-3,722

Finding the Fourth Proportional to 6,802.16, 10,196.70 and 3,722

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Solution

The fourth proportional to 6,802.16, 10,196.70 and 3,722 is: 5,579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.16 : 10,196.70 = 3,722 : x
  2. Step 2: Convert to fraction form
    6,802.16/10,196.70 = 3,722/x
  3. Step 3: Cross multiply
    6,802.16x = 10,196.70 × 3,722
  4. Step 4: Simplify right side
    6,802.16x = 37,952,117.40
  5. Step 5: Solve for x
    x = 37,952,117.40/6,802.16
  6. Step 6: Final answer
    x = 5,579.42

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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.