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Finding the Fourth Proportional to 8,409.43, 11,616.80 and 7,966.57

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Solution

The fourth proportional to 8,409.43, 11,616.80 and 7,966.57 is: 11,005.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.43 : 11,616.80 = 7,966.57 : x
  2. Step 2: Convert to fraction form
    8,409.43/11,616.80 = 7,966.57/x
  3. Step 3: Cross multiply
    8,409.43x = 11,616.80 × 7,966.57
  4. Step 4: Simplify right side
    8,409.43x = 92,546,050.38
  5. Step 5: Solve for x
    x = 92,546,050.38/8,409.43
  6. Step 6: Final answer
    x = 11,005.03

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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.