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Finding the Fourth Proportional to 14,321.64, 19,763.78 and 8,034

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Solution

The fourth proportional to 14,321.64, 19,763.78 and 8,034 is: 11,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.64 : 19,763.78 = 8,034 : x
  2. Step 2: Convert to fraction form
    14,321.64/19,763.78 = 8,034/x
  3. Step 3: Cross multiply
    14,321.64x = 19,763.78 × 8,034
  4. Step 4: Simplify right side
    14,321.64x = 158,782,208.52
  5. Step 5: Solve for x
    x = 158,782,208.52/14,321.64
  6. Step 6: Final answer
    x = 11,086.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.