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Finding the Fourth Proportional to 28,381, 42,571.68 and 9,913

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Solution

The fourth proportional to 28,381, 42,571.68 and 9,913 is: 14,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,381 : 42,571.68 = 9,913 : x
  2. Step 2: Convert to fraction form
    28,381/42,571.68 = 9,913/x
  3. Step 3: Cross multiply
    28,381x = 42,571.68 × 9,913
  4. Step 4: Simplify right side
    28,381x = 422,013,063.84
  5. Step 5: Solve for x
    x = 422,013,063.84/28,381
  6. Step 6: Final answer
    x = 14,869.56

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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.