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Finding the Fourth Proportional to 25,687.50, 38,539.02 and 18,205.53

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Solution

The fourth proportional to 25,687.50, 38,539.02 and 18,205.53 is: 27,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,687.50 : 38,539.02 = 18,205.53 : x
  2. Step 2: Convert to fraction form
    25,687.50/38,539.02 = 18,205.53/x
  3. Step 3: Cross multiply
    25,687.50x = 38,539.02 × 18,205.53
  4. Step 4: Simplify right side
    25,687.50x = 701,623,284.78
  5. Step 5: Solve for x
    x = 701,623,284.78/25,687.50
  6. Step 6: Final answer
    x = 27,313.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.