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Finding the Fourth Proportional to 8,353.32, 11,496.90 and 7,161

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Solution

The fourth proportional to 8,353.32, 11,496.90 and 7,161 is: 9,855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.32 : 11,496.90 = 7,161 : x
  2. Step 2: Convert to fraction form
    8,353.32/11,496.90 = 7,161/x
  3. Step 3: Cross multiply
    8,353.32x = 11,496.90 × 7,161
  4. Step 4: Simplify right side
    8,353.32x = 82,329,300.90
  5. Step 5: Solve for x
    x = 82,329,300.90/8,353.32
  6. Step 6: Final answer
    x = 9,855.88

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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.