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Finding the Fourth Proportional to 8,677.94, 11,938.59 and 7,664.63

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Solution

The fourth proportional to 8,677.94, 11,938.59 and 7,664.63 is: 10,544.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.94 : 11,938.59 = 7,664.63 : x
  2. Step 2: Convert to fraction form
    8,677.94/11,938.59 = 7,664.63/x
  3. Step 3: Cross multiply
    8,677.94x = 11,938.59 × 7,664.63
  4. Step 4: Simplify right side
    8,677.94x = 91,504,815.38
  5. Step 5: Solve for x
    x = 91,504,815.38/8,677.94
  6. Step 6: Final answer
    x = 10,544.54

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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.