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Finding the Fourth Proportional to 13,768.75, 19,002.50 and 8,179.75

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Solution

The fourth proportional to 13,768.75, 19,002.50 and 8,179.75 is: 11,289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.75 : 19,002.50 = 8,179.75 : x
  2. Step 2: Convert to fraction form
    13,768.75/19,002.50 = 8,179.75/x
  3. Step 3: Cross multiply
    13,768.75x = 19,002.50 × 8,179.75
  4. Step 4: Simplify right side
    13,768.75x = 155,435,699.38
  5. Step 5: Solve for x
    x = 155,435,699.38/13,768.75
  6. Step 6: Final answer
    x = 11,289.02

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1.5x scale

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.