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Finding the Fourth Proportional to 12,911.82, 19,374.78 and 5,014.68

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Solution

The fourth proportional to 12,911.82, 19,374.78 and 5,014.68 is: 7,524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.82 : 19,374.78 = 5,014.68 : x
  2. Step 2: Convert to fraction form
    12,911.82/19,374.78 = 5,014.68/x
  3. Step 3: Cross multiply
    12,911.82x = 19,374.78 × 5,014.68
  4. Step 4: Simplify right side
    12,911.82x = 97,158,321.77
  5. Step 5: Solve for x
    x = 97,158,321.77/12,911.82
  6. Step 6: Final answer
    x = 7,524.76

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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.