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Finding the Fourth Proportional to 18,665, 25,757.78 and 10,281.32

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Solution

The fourth proportional to 18,665, 25,757.78 and 10,281.32 is: 14,188.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,665 : 25,757.78 = 10,281.32 : x
  2. Step 2: Convert to fraction form
    18,665/25,757.78 = 10,281.32/x
  3. Step 3: Cross multiply
    18,665x = 25,757.78 × 10,281.32
  4. Step 4: Simplify right side
    18,665x = 264,823,978.67
  5. Step 5: Solve for x
    x = 264,823,978.67/18,665
  6. Step 6: Final answer
    x = 14,188.27

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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.