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Finding the Fourth Proportional to 27,844, 38,420 and 18,407.52

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Solution

The fourth proportional to 27,844, 38,420 and 18,407.52 is: 25,399.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,844 : 38,420 = 18,407.52 : x
  2. Step 2: Convert to fraction form
    27,844/38,420 = 18,407.52/x
  3. Step 3: Cross multiply
    27,844x = 38,420 × 18,407.52
  4. Step 4: Simplify right side
    27,844x = 707,216,918.40
  5. Step 5: Solve for x
    x = 707,216,918.40/27,844
  6. Step 6: Final answer
    x = 25,399.26

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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.