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Finding the Fourth Proportional to 8,578.44, 11,834.78 and 5,218.56

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Solution

The fourth proportional to 8,578.44, 11,834.78 and 5,218.56 is: 7,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.44 : 11,834.78 = 5,218.56 : x
  2. Step 2: Convert to fraction form
    8,578.44/11,834.78 = 5,218.56/x
  3. Step 3: Cross multiply
    8,578.44x = 11,834.78 × 5,218.56
  4. Step 4: Simplify right side
    8,578.44x = 61,760,509.52
  5. Step 5: Solve for x
    x = 61,760,509.52/8,578.44
  6. Step 6: Final answer
    x = 7,199.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.