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Finding the Fourth Proportional to 18,706.11, 25,813.64 and 10,208.03

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Solution

The fourth proportional to 18,706.11, 25,813.64 and 10,208.03 is: 14,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,706.11 : 25,813.64 = 10,208.03 : x
  2. Step 2: Convert to fraction form
    18,706.11/25,813.64 = 10,208.03/x
  3. Step 3: Cross multiply
    18,706.11x = 25,813.64 × 10,208.03
  4. Step 4: Simplify right side
    18,706.11x = 263,506,231.42
  5. Step 5: Solve for x
    x = 263,506,231.42/18,706.11
  6. Step 6: Final answer
    x = 14,086.64

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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.