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Finding the Fourth Proportional to 12,025.63, 16,580.19 and 7,769.49

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Solution

The fourth proportional to 12,025.63, 16,580.19 and 7,769.49 is: 10,712.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025.63 : 16,580.19 = 7,769.49 : x
  2. Step 2: Convert to fraction form
    12,025.63/16,580.19 = 7,769.49/x
  3. Step 3: Cross multiply
    12,025.63x = 16,580.19 × 7,769.49
  4. Step 4: Simplify right side
    12,025.63x = 128,819,620.40
  5. Step 5: Solve for x
    x = 128,819,620.40/12,025.63
  6. Step 6: Final answer
    x = 10,712.09

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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.