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Finding the Fourth Proportional to 8,984.23, 12,382.09 and 7,311.17

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Solution

The fourth proportional to 8,984.23, 12,382.09 and 7,311.17 is: 10,076.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.23 : 12,382.09 = 7,311.17 : x
  2. Step 2: Convert to fraction form
    8,984.23/12,382.09 = 7,311.17/x
  3. Step 3: Cross multiply
    8,984.23x = 12,382.09 × 7,311.17
  4. Step 4: Simplify right side
    8,984.23x = 90,527,577.62
  5. Step 5: Solve for x
    x = 90,527,577.62/8,984.23
  6. Step 6: Final answer
    x = 10,076.28

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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.