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Finding the Fourth Proportional to 38,563.80, 57,845.70 and 12,271.20

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Solution

The fourth proportional to 38,563.80, 57,845.70 and 12,271.20 is: 18,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,563.80 : 57,845.70 = 12,271.20 : x
  2. Step 2: Convert to fraction form
    38,563.80/57,845.70 = 12,271.20/x
  3. Step 3: Cross multiply
    38,563.80x = 57,845.70 × 12,271.20
  4. Step 4: Simplify right side
    38,563.80x = 709,836,153.84
  5. Step 5: Solve for x
    x = 709,836,153.84/38,563.80
  6. Step 6: Final answer
    x = 18,406.80

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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.