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Finding the Fourth Proportional to 18,705.78, 25,813.74 and 10,207.65

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Solution

The fourth proportional to 18,705.78, 25,813.74 and 10,207.65 is: 14,086.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,705.78 : 25,813.74 = 10,207.65 : x
  2. Step 2: Convert to fraction form
    18,705.78/25,813.74 = 10,207.65/x
  3. Step 3: Cross multiply
    18,705.78x = 25,813.74 × 10,207.65
  4. Step 4: Simplify right side
    18,705.78x = 263,497,623.11
  5. Step 5: Solve for x
    x = 263,497,623.11/18,705.78
  6. Step 6: Final answer
    x = 14,086.43

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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.