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Finding the Fourth Proportional to 8,569.34, 12,849.23 and 2,644.54

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Solution

The fourth proportional to 8,569.34, 12,849.23 and 2,644.54 is: 3,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.34 : 12,849.23 = 2,644.54 : x
  2. Step 2: Convert to fraction form
    8,569.34/12,849.23 = 2,644.54/x
  3. Step 3: Cross multiply
    8,569.34x = 12,849.23 × 2,644.54
  4. Step 4: Simplify right side
    8,569.34x = 33,980,302.70
  5. Step 5: Solve for x
    x = 33,980,302.70/8,569.34
  6. Step 6: Final answer
    x = 3,965.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.