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Finding the Fourth Proportional to 14,057.94, 21,076.49 and 8,509.97

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Solution

The fourth proportional to 14,057.94, 21,076.49 and 8,509.97 is: 12,758.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.94 : 21,076.49 = 8,509.97 : x
  2. Step 2: Convert to fraction form
    14,057.94/21,076.49 = 8,509.97/x
  3. Step 3: Cross multiply
    14,057.94x = 21,076.49 × 8,509.97
  4. Step 4: Simplify right side
    14,057.94x = 179,360,323.70
  5. Step 5: Solve for x
    x = 179,360,323.70/14,057.94
  6. Step 6: Final answer
    x = 12,758.65

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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.