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Finding the Fourth Proportional to 12,674.56, 19,015.64 and 8,983.88

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Solution

The fourth proportional to 12,674.56, 19,015.64 and 8,983.88 is: 13,478.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.56 : 19,015.64 = 8,983.88 : x
  2. Step 2: Convert to fraction form
    12,674.56/19,015.64 = 8,983.88/x
  3. Step 3: Cross multiply
    12,674.56x = 19,015.64 × 8,983.88
  4. Step 4: Simplify right side
    12,674.56x = 170,834,227.88
  5. Step 5: Solve for x
    x = 170,834,227.88/12,674.56
  6. Step 6: Final answer
    x = 13,478.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.