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Finding the Fourth Proportional to 8,530, 11,760.60 and 7,012

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Solution

The fourth proportional to 8,530, 11,760.60 and 7,012 is: 9,667.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530 : 11,760.60 = 7,012 : x
  2. Step 2: Convert to fraction form
    8,530/11,760.60 = 7,012/x
  3. Step 3: Cross multiply
    8,530x = 11,760.60 × 7,012
  4. Step 4: Simplify right side
    8,530x = 82,465,327.20
  5. Step 5: Solve for x
    x = 82,465,327.20/8,530
  6. Step 6: Final answer
    x = 9,667.68

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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.