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Finding the Fourth Proportional to 12,661.56, 18,985 and 6,078.76

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Solution

The fourth proportional to 12,661.56, 18,985 and 6,078.76 is: 9,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.56 : 18,985 = 6,078.76 : x
  2. Step 2: Convert to fraction form
    12,661.56/18,985 = 6,078.76/x
  3. Step 3: Cross multiply
    12,661.56x = 18,985 × 6,078.76
  4. Step 4: Simplify right side
    12,661.56x = 115,405,258.60
  5. Step 5: Solve for x
    x = 115,405,258.60/12,661.56
  6. Step 6: Final answer
    x = 9,114.62

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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.