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Finding the Fourth Proportional to 8,578.24, 12,867.60 and 2,422.24

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Solution

The fourth proportional to 8,578.24, 12,867.60 and 2,422.24 is: 3,633.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.24 : 12,867.60 = 2,422.24 : x
  2. Step 2: Convert to fraction form
    8,578.24/12,867.60 = 2,422.24/x
  3. Step 3: Cross multiply
    8,578.24x = 12,867.60 × 2,422.24
  4. Step 4: Simplify right side
    8,578.24x = 31,168,415.42
  5. Step 5: Solve for x
    x = 31,168,415.42/8,578.24
  6. Step 6: Final answer
    x = 3,633.43

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1.5x scale

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.