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Finding the Fourth Proportional to 28,863.86, 43,300.24 and 12,224

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Solution

The fourth proportional to 28,863.86, 43,300.24 and 12,224 is: 18,337.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,863.86 : 43,300.24 = 12,224 : x
  2. Step 2: Convert to fraction form
    28,863.86/43,300.24 = 12,224/x
  3. Step 3: Cross multiply
    28,863.86x = 43,300.24 × 12,224
  4. Step 4: Simplify right side
    28,863.86x = 529,302,133.76
  5. Step 5: Solve for x
    x = 529,302,133.76/28,863.86
  6. Step 6: Final answer
    x = 18,337.88

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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.