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Finding the Fourth Proportional to 25,909, 35,754.42 and 14,731

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Solution

The fourth proportional to 25,909, 35,754.42 and 14,731 is: 20,328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,909 : 35,754.42 = 14,731 : x
  2. Step 2: Convert to fraction form
    25,909/35,754.42 = 14,731/x
  3. Step 3: Cross multiply
    25,909x = 35,754.42 × 14,731
  4. Step 4: Simplify right side
    25,909x = 526,698,361.02
  5. Step 5: Solve for x
    x = 526,698,361.02/25,909
  6. Step 6: Final answer
    x = 20,328.78

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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.