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Finding the Fourth Proportional to 10,848.54, 14,984.01 and 8,194.98

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Solution

The fourth proportional to 10,848.54, 14,984.01 and 8,194.98 is: 11,318.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,848.54 : 14,984.01 = 8,194.98 : x
  2. Step 2: Convert to fraction form
    10,848.54/14,984.01 = 8,194.98/x
  3. Step 3: Cross multiply
    10,848.54x = 14,984.01 × 8,194.98
  4. Step 4: Simplify right side
    10,848.54x = 122,793,662.27
  5. Step 5: Solve for x
    x = 122,793,662.27/10,848.54
  6. Step 6: Final answer
    x = 11,318.91

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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.