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Finding the Fourth Proportional to 20,578.75, 30,864.54 and 5,784.15

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Solution

The fourth proportional to 20,578.75, 30,864.54 and 5,784.15 is: 8,675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.75 : 30,864.54 = 5,784.15 : x
  2. Step 2: Convert to fraction form
    20,578.75/30,864.54 = 5,784.15/x
  3. Step 3: Cross multiply
    20,578.75x = 30,864.54 × 5,784.15
  4. Step 4: Simplify right side
    20,578.75x = 178,525,233.94
  5. Step 5: Solve for x
    x = 178,525,233.94/20,578.75
  6. Step 6: Final answer
    x = 8,675.22

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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.