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Finding the Fourth Proportional to 13,153.71, 19,723.64 and 8,994.90

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Solution

The fourth proportional to 13,153.71, 19,723.64 and 8,994.90 is: 13,487.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.71 : 19,723.64 = 8,994.90 : x
  2. Step 2: Convert to fraction form
    13,153.71/19,723.64 = 8,994.90/x
  3. Step 3: Cross multiply
    13,153.71x = 19,723.64 × 8,994.90
  4. Step 4: Simplify right side
    13,153.71x = 177,412,124.46
  5. Step 5: Solve for x
    x = 177,412,124.46/13,153.71
  6. Step 6: Final answer
    x = 13,487.61

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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.