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Finding the Fourth Proportional to 18,617, 27,930.54 and 6,305

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Solution

The fourth proportional to 18,617, 27,930.54 and 6,305 is: 9,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,617 : 27,930.54 = 6,305 : x
  2. Step 2: Convert to fraction form
    18,617/27,930.54 = 6,305/x
  3. Step 3: Cross multiply
    18,617x = 27,930.54 × 6,305
  4. Step 4: Simplify right side
    18,617x = 176,102,054.70
  5. Step 5: Solve for x
    x = 176,102,054.70/18,617
  6. Step 6: Final answer
    x = 9,459.21

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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.