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Finding the Fourth Proportional to 18,657.57, 25,698.43 and 14,342.43

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Solution

The fourth proportional to 18,657.57, 25,698.43 and 14,342.43 is: 19,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657.57 : 25,698.43 = 14,342.43 : x
  2. Step 2: Convert to fraction form
    18,657.57/25,698.43 = 14,342.43/x
  3. Step 3: Cross multiply
    18,657.57x = 25,698.43 × 14,342.43
  4. Step 4: Simplify right side
    18,657.57x = 368,578,047.68
  5. Step 5: Solve for x
    x = 368,578,047.68/18,657.57
  6. Step 6: Final answer
    x = 19,754.88

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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.