Home / 7,722-11,582.80-3,562.04

Finding the Fourth Proportional to 7,722, 11,582.80 and 3,562.04

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Solution

The fourth proportional to 7,722, 11,582.80 and 3,562.04 is: 5,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722 : 11,582.80 = 3,562.04 : x
  2. Step 2: Convert to fraction form
    7,722/11,582.80 = 3,562.04/x
  3. Step 3: Cross multiply
    7,722x = 11,582.80 × 3,562.04
  4. Step 4: Simplify right side
    7,722x = 41,258,416.96
  5. Step 5: Solve for x
    x = 41,258,416.96/7,722
  6. Step 6: Final answer
    x = 5,342.97

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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.