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Finding the Fourth Proportional to 11,576, 17,387.32 and 6,905.14

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Solution

The fourth proportional to 11,576, 17,387.32 and 6,905.14 is: 10,371.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576 : 17,387.32 = 6,905.14 : x
  2. Step 2: Convert to fraction form
    11,576/17,387.32 = 6,905.14/x
  3. Step 3: Cross multiply
    11,576x = 17,387.32 × 6,905.14
  4. Step 4: Simplify right side
    11,576x = 120,061,878.82
  5. Step 5: Solve for x
    x = 120,061,878.82/11,576
  6. Step 6: Final answer
    x = 10,371.62

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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.