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Finding the Fourth Proportional to 13,460.41, 20,194.74 and 6,891.20

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Solution

The fourth proportional to 13,460.41, 20,194.74 and 6,891.20 is: 10,338.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.41 : 20,194.74 = 6,891.20 : x
  2. Step 2: Convert to fraction form
    13,460.41/20,194.74 = 6,891.20/x
  3. Step 3: Cross multiply
    13,460.41x = 20,194.74 × 6,891.20
  4. Step 4: Simplify right side
    13,460.41x = 139,165,992.29
  5. Step 5: Solve for x
    x = 139,165,992.29/13,460.41
  6. Step 6: Final answer
    x = 10,338.92

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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.