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Finding the Fourth Proportional to 13,653.58, 18,843.75 and 7,686.42

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Solution

The fourth proportional to 13,653.58, 18,843.75 and 7,686.42 is: 10,608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.58 : 18,843.75 = 7,686.42 : x
  2. Step 2: Convert to fraction form
    13,653.58/18,843.75 = 7,686.42/x
  3. Step 3: Cross multiply
    13,653.58x = 18,843.75 × 7,686.42
  4. Step 4: Simplify right side
    13,653.58x = 144,840,976.88
  5. Step 5: Solve for x
    x = 144,840,976.88/13,653.58
  6. Step 6: Final answer
    x = 10,608.28

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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.