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Finding the Fourth Proportional to 19,608.57, 29,412.81 and 8,513.82

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Solution

The fourth proportional to 19,608.57, 29,412.81 and 8,513.82 is: 12,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,608.57 : 29,412.81 = 8,513.82 : x
  2. Step 2: Convert to fraction form
    19,608.57/29,412.81 = 8,513.82/x
  3. Step 3: Cross multiply
    19,608.57x = 29,412.81 × 8,513.82
  4. Step 4: Simplify right side
    19,608.57x = 250,415,370.03
  5. Step 5: Solve for x
    x = 250,415,370.03/19,608.57
  6. Step 6: Final answer
    x = 12,770.71

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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.