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Finding the Fourth Proportional to 13,843.12, 19,103.49 and 7,555.49

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Solution

The fourth proportional to 13,843.12, 19,103.49 and 7,555.49 is: 10,426.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.12 : 19,103.49 = 7,555.49 : x
  2. Step 2: Convert to fraction form
    13,843.12/19,103.49 = 7,555.49/x
  3. Step 3: Cross multiply
    13,843.12x = 19,103.49 × 7,555.49
  4. Step 4: Simplify right side
    13,843.12x = 144,336,227.66
  5. Step 5: Solve for x
    x = 144,336,227.66/13,843.12
  6. Step 6: Final answer
    x = 10,426.57

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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.