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Finding the Fourth Proportional to 12,881.58, 19,321.74 and 4,116.12

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Solution

The fourth proportional to 12,881.58, 19,321.74 and 4,116.12 is: 6,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.58 : 19,321.74 = 4,116.12 : x
  2. Step 2: Convert to fraction form
    12,881.58/19,321.74 = 4,116.12/x
  3. Step 3: Cross multiply
    12,881.58x = 19,321.74 × 4,116.12
  4. Step 4: Simplify right side
    12,881.58x = 79,530,600.45
  5. Step 5: Solve for x
    x = 79,530,600.45/12,881.58
  6. Step 6: Final answer
    x = 6,173.98

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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.