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Finding the Fourth Proportional to 8,453.34, 11,667.09 and 7,035.12

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Solution

The fourth proportional to 8,453.34, 11,667.09 and 7,035.12 is: 9,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.34 : 11,667.09 = 7,035.12 : x
  2. Step 2: Convert to fraction form
    8,453.34/11,667.09 = 7,035.12/x
  3. Step 3: Cross multiply
    8,453.34x = 11,667.09 × 7,035.12
  4. Step 4: Simplify right side
    8,453.34x = 82,079,378.20
  5. Step 5: Solve for x
    x = 82,079,378.20/8,453.34
  6. Step 6: Final answer
    x = 9,709.70

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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.