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Finding the Fourth Proportional to 11,617, 17,427.66 and 5,461

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Solution

The fourth proportional to 11,617, 17,427.66 and 5,461 is: 8,192.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617 : 17,427.66 = 5,461 : x
  2. Step 2: Convert to fraction form
    11,617/17,427.66 = 5,461/x
  3. Step 3: Cross multiply
    11,617x = 17,427.66 × 5,461
  4. Step 4: Simplify right side
    11,617x = 95,172,451.26
  5. Step 5: Solve for x
    x = 95,172,451.26/11,617
  6. Step 6: Final answer
    x = 8,192.52

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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.