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Finding the Fourth Proportional to 28,288.74, 42,415.62 and 9,567

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Solution

The fourth proportional to 28,288.74, 42,415.62 and 9,567 is: 14,344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,288.74 : 42,415.62 = 9,567 : x
  2. Step 2: Convert to fraction form
    28,288.74/42,415.62 = 9,567/x
  3. Step 3: Cross multiply
    28,288.74x = 42,415.62 × 9,567
  4. Step 4: Simplify right side
    28,288.74x = 405,790,236.54
  5. Step 5: Solve for x
    x = 405,790,236.54/28,288.74
  6. Step 6: Final answer
    x = 14,344.59

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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.