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Finding the Fourth Proportional to 7,750.50, 11,667.94 and 7,061.60

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Solution

The fourth proportional to 7,750.50, 11,667.94 and 7,061.60 is: 10,630.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.50 : 11,667.94 = 7,061.60 : x
  2. Step 2: Convert to fraction form
    7,750.50/11,667.94 = 7,061.60/x
  3. Step 3: Cross multiply
    7,750.50x = 11,667.94 × 7,061.60
  4. Step 4: Simplify right side
    7,750.50x = 82,394,249.11
  5. Step 5: Solve for x
    x = 82,394,249.11/7,750.50
  6. Step 6: Final answer
    x = 10,630.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.