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Finding the Fourth Proportional to 8,570.97, 11,828.09 and 5,213.92

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Solution

The fourth proportional to 8,570.97, 11,828.09 and 5,213.92 is: 7,195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.97 : 11,828.09 = 5,213.92 : x
  2. Step 2: Convert to fraction form
    8,570.97/11,828.09 = 5,213.92/x
  3. Step 3: Cross multiply
    8,570.97x = 11,828.09 × 5,213.92
  4. Step 4: Simplify right side
    8,570.97x = 61,670,715.01
  5. Step 5: Solve for x
    x = 61,670,715.01/8,570.97
  6. Step 6: Final answer
    x = 7,195.30

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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.