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Finding the Fourth Proportional to 19,960, 27,567.84 and 13,661.44

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Solution

The fourth proportional to 19,960, 27,567.84 and 13,661.44 is: 18,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,960 : 27,567.84 = 13,661.44 : x
  2. Step 2: Convert to fraction form
    19,960/27,567.84 = 13,661.44/x
  3. Step 3: Cross multiply
    19,960x = 27,567.84 × 13,661.44
  4. Step 4: Simplify right side
    19,960x = 376,616,392.09
  5. Step 5: Solve for x
    x = 376,616,392.09/19,960
  6. Step 6: Final answer
    x = 18,868.56

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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.