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Finding the Fourth Proportional to 14,224, 21,289.52 and 12,859.88

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Solution

The fourth proportional to 14,224, 21,289.52 and 12,859.88 is: 19,247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224 : 21,289.52 = 12,859.88 : x
  2. Step 2: Convert to fraction form
    14,224/21,289.52 = 12,859.88/x
  3. Step 3: Cross multiply
    14,224x = 21,289.52 × 12,859.88
  4. Step 4: Simplify right side
    14,224x = 273,780,672.46
  5. Step 5: Solve for x
    x = 273,780,672.46/14,224
  6. Step 6: Final answer
    x = 19,247.80

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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.