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Finding the Fourth Proportional to 19,911.76, 27,466.80 and 12,446.80

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Solution

The fourth proportional to 19,911.76, 27,466.80 and 12,446.80 is: 17,169.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,911.76 : 27,466.80 = 12,446.80 : x
  2. Step 2: Convert to fraction form
    19,911.76/27,466.80 = 12,446.80/x
  3. Step 3: Cross multiply
    19,911.76x = 27,466.80 × 12,446.80
  4. Step 4: Simplify right side
    19,911.76x = 341,873,766.24
  5. Step 5: Solve for x
    x = 341,873,766.24/19,911.76
  6. Step 6: Final answer
    x = 17,169.44

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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.