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Finding the Fourth Proportional to 18,666, 25,759.53 and 10,282.50

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Solution

The fourth proportional to 18,666, 25,759.53 and 10,282.50 is: 14,190.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,666 : 25,759.53 = 10,282.50 : x
  2. Step 2: Convert to fraction form
    18,666/25,759.53 = 10,282.50/x
  3. Step 3: Cross multiply
    18,666x = 25,759.53 × 10,282.50
  4. Step 4: Simplify right side
    18,666x = 264,872,367.23
  5. Step 5: Solve for x
    x = 264,872,367.23/18,666
  6. Step 6: Final answer
    x = 14,190.10

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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.