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Finding the Fourth Proportional to 8,321.02, 12,408.47 and 7,067.14

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Solution

The fourth proportional to 8,321.02, 12,408.47 and 7,067.14 is: 10,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.02 : 12,408.47 = 7,067.14 : x
  2. Step 2: Convert to fraction form
    8,321.02/12,408.47 = 7,067.14/x
  3. Step 3: Cross multiply
    8,321.02x = 12,408.47 × 7,067.14
  4. Step 4: Simplify right side
    8,321.02x = 87,692,394.68
  5. Step 5: Solve for x
    x = 87,692,394.68/8,321.02
  6. Step 6: Final answer
    x = 10,538.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.