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Finding the Fourth Proportional to 13,768.38, 19,000.38 and 7,480.75

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Solution

The fourth proportional to 13,768.38, 19,000.38 and 7,480.75 is: 10,323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.38 : 19,000.38 = 7,480.75 : x
  2. Step 2: Convert to fraction form
    13,768.38/19,000.38 = 7,480.75/x
  3. Step 3: Cross multiply
    13,768.38x = 19,000.38 × 7,480.75
  4. Step 4: Simplify right side
    13,768.38x = 142,137,092.69
  5. Step 5: Solve for x
    x = 142,137,092.69/13,768.38
  6. Step 6: Final answer
    x = 10,323.44

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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.