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Finding the Fourth Proportional to 28,359.88, 42,538.36 and 8,638

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Solution

The fourth proportional to 28,359.88, 42,538.36 and 8,638 is: 12,956.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,359.88 : 42,538.36 = 8,638 : x
  2. Step 2: Convert to fraction form
    28,359.88/42,538.36 = 8,638/x
  3. Step 3: Cross multiply
    28,359.88x = 42,538.36 × 8,638
  4. Step 4: Simplify right side
    28,359.88x = 367,446,353.68
  5. Step 5: Solve for x
    x = 367,446,353.68/28,359.88
  6. Step 6: Final answer
    x = 12,956.56

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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.