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Finding the Fourth Proportional to 25,189.20, 37,783.80 and 12,038.48

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Solution

The fourth proportional to 25,189.20, 37,783.80 and 12,038.48 is: 18,057.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,189.20 : 37,783.80 = 12,038.48 : x
  2. Step 2: Convert to fraction form
    25,189.20/37,783.80 = 12,038.48/x
  3. Step 3: Cross multiply
    25,189.20x = 37,783.80 × 12,038.48
  4. Step 4: Simplify right side
    25,189.20x = 454,859,520.62
  5. Step 5: Solve for x
    x = 454,859,520.62/25,189.20
  6. Step 6: Final answer
    x = 18,057.72

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