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Finding the Fourth Proportional to 10,927.60, 16,391.40 and 7,471.60

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Solution

The fourth proportional to 10,927.60, 16,391.40 and 7,471.60 is: 11,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927.60 : 16,391.40 = 7,471.60 : x
  2. Step 2: Convert to fraction form
    10,927.60/16,391.40 = 7,471.60/x
  3. Step 3: Cross multiply
    10,927.60x = 16,391.40 × 7,471.60
  4. Step 4: Simplify right side
    10,927.60x = 122,469,984.24
  5. Step 5: Solve for x
    x = 122,469,984.24/10,927.60
  6. Step 6: Final answer
    x = 11,207.40

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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.