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Finding the Fourth Proportional to 19,767.69, 27,290.69 and 13,072.74

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Solution

The fourth proportional to 19,767.69, 27,290.69 and 13,072.74 is: 18,047.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,767.69 : 27,290.69 = 13,072.74 : x
  2. Step 2: Convert to fraction form
    19,767.69/27,290.69 = 13,072.74/x
  3. Step 3: Cross multiply
    19,767.69x = 27,290.69 × 13,072.74
  4. Step 4: Simplify right side
    19,767.69x = 356,764,029.43
  5. Step 5: Solve for x
    x = 356,764,029.43/19,767.69
  6. Step 6: Final answer
    x = 18,047.84

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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.