Home / 7,821.09-11,735.44-3,437.98

Finding the Fourth Proportional to 7,821.09, 11,735.44 and 3,437.98

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Solution

The fourth proportional to 7,821.09, 11,735.44 and 3,437.98 is: 5,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.09 : 11,735.44 = 3,437.98 : x
  2. Step 2: Convert to fraction form
    7,821.09/11,735.44 = 3,437.98/x
  3. Step 3: Cross multiply
    7,821.09x = 11,735.44 × 3,437.98
  4. Step 4: Simplify right side
    7,821.09x = 40,346,190.82
  5. Step 5: Solve for x
    x = 40,346,190.82/7,821.09
  6. Step 6: Final answer
    x = 5,158.64

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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.