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Finding the Fourth Proportional to 12,800.50, 19,200.75 and 3,072.50

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Solution

The fourth proportional to 12,800.50, 19,200.75 and 3,072.50 is: 4,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.50 : 19,200.75 = 3,072.50 : x
  2. Step 2: Convert to fraction form
    12,800.50/19,200.75 = 3,072.50/x
  3. Step 3: Cross multiply
    12,800.50x = 19,200.75 × 3,072.50
  4. Step 4: Simplify right side
    12,800.50x = 58,994,304.38
  5. Step 5: Solve for x
    x = 58,994,304.38/12,800.50
  6. Step 6: Final answer
    x = 4,608.75

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1.5x scale

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.