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Finding the Fourth Proportional to 18,580, 25,640.44 and 10,196.48

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Solution

The fourth proportional to 18,580, 25,640.44 and 10,196.48 is: 14,071.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,580 : 25,640.44 = 10,196.48 : x
  2. Step 2: Convert to fraction form
    18,580/25,640.44 = 10,196.48/x
  3. Step 3: Cross multiply
    18,580x = 25,640.44 × 10,196.48
  4. Step 4: Simplify right side
    18,580x = 261,442,233.65
  5. Step 5: Solve for x
    x = 261,442,233.65/18,580
  6. Step 6: Final answer
    x = 14,071.16

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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.