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Finding the Fourth Proportional to 8,376.40, 11,546.12 and 6,605.12

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Solution

The fourth proportional to 8,376.40, 11,546.12 and 6,605.12 is: 9,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376.40 : 11,546.12 = 6,605.12 : x
  2. Step 2: Convert to fraction form
    8,376.40/11,546.12 = 6,605.12/x
  3. Step 3: Cross multiply
    8,376.40x = 11,546.12 × 6,605.12
  4. Step 4: Simplify right side
    8,376.40x = 76,263,508.13
  5. Step 5: Solve for x
    x = 76,263,508.13/8,376.40
  6. Step 6: Final answer
    x = 9,104.57

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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.