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Finding the Fourth Proportional to 15,138.93, 20,891.57 and 8,424.44

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Solution

The fourth proportional to 15,138.93, 20,891.57 and 8,424.44 is: 11,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.93 : 20,891.57 = 8,424.44 : x
  2. Step 2: Convert to fraction form
    15,138.93/20,891.57 = 8,424.44/x
  3. Step 3: Cross multiply
    15,138.93x = 20,891.57 × 8,424.44
  4. Step 4: Simplify right side
    15,138.93x = 175,999,733.43
  5. Step 5: Solve for x
    x = 175,999,733.43/15,138.93
  6. Step 6: Final answer
    x = 11,625.64

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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.