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Finding the Fourth Proportional to 11,258.01, 16,880.94 and 7,977.51

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Solution

The fourth proportional to 11,258.01, 16,880.94 and 7,977.51 is: 11,961.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,258.01 : 16,880.94 = 7,977.51 : x
  2. Step 2: Convert to fraction form
    11,258.01/16,880.94 = 7,977.51/x
  3. Step 3: Cross multiply
    11,258.01x = 16,880.94 × 7,977.51
  4. Step 4: Simplify right side
    11,258.01x = 134,667,867.66
  5. Step 5: Solve for x
    x = 134,667,867.66/11,258.01
  6. Step 6: Final answer
    x = 11,961.96

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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.