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Finding the Fourth Proportional to 8,263.82, 12,387.53 and 7,382.34

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Solution

The fourth proportional to 8,263.82, 12,387.53 and 7,382.34 is: 11,066.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.82 : 12,387.53 = 7,382.34 : x
  2. Step 2: Convert to fraction form
    8,263.82/12,387.53 = 7,382.34/x
  3. Step 3: Cross multiply
    8,263.82x = 12,387.53 × 7,382.34
  4. Step 4: Simplify right side
    8,263.82x = 91,448,976.68
  5. Step 5: Solve for x
    x = 91,448,976.68/8,263.82
  6. Step 6: Final answer
    x = 11,066.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.