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Finding the Fourth Proportional to 28,926, 43,384.20 and 8,144.88

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Solution

The fourth proportional to 28,926, 43,384.20 and 8,144.88 is: 12,215.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,926 : 43,384.20 = 8,144.88 : x
  2. Step 2: Convert to fraction form
    28,926/43,384.20 = 8,144.88/x
  3. Step 3: Cross multiply
    28,926x = 43,384.20 × 8,144.88
  4. Step 4: Simplify right side
    28,926x = 353,359,102.90
  5. Step 5: Solve for x
    x = 353,359,102.90/28,926
  6. Step 6: Final answer
    x = 12,215.97

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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.