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Finding the Fourth Proportional to 7,809.33, 10,776.97 and 4,224.36

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Solution

The fourth proportional to 7,809.33, 10,776.97 and 4,224.36 is: 5,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.33 : 10,776.97 = 4,224.36 : x
  2. Step 2: Convert to fraction form
    7,809.33/10,776.97 = 4,224.36/x
  3. Step 3: Cross multiply
    7,809.33x = 10,776.97 × 4,224.36
  4. Step 4: Simplify right side
    7,809.33x = 45,525,830.84
  5. Step 5: Solve for x
    x = 45,525,830.84/7,809.33
  6. Step 6: Final answer
    x = 5,829.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.