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Finding the Fourth Proportional to 19,540, 26,965.52 and 13,960.48

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Solution

The fourth proportional to 19,540, 26,965.52 and 13,960.48 is: 19,265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,540 : 26,965.52 = 13,960.48 : x
  2. Step 2: Convert to fraction form
    19,540/26,965.52 = 13,960.48/x
  3. Step 3: Cross multiply
    19,540x = 26,965.52 × 13,960.48
  4. Step 4: Simplify right side
    19,540x = 376,451,602.65
  5. Step 5: Solve for x
    x = 376,451,602.65/19,540
  6. Step 6: Final answer
    x = 19,265.69

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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.