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Finding the Fourth Proportional to 38,491.92, 53,119.92 and 21,726

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Solution

The fourth proportional to 38,491.92, 53,119.92 and 21,726 is: 29,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,491.92 : 53,119.92 = 21,726 : x
  2. Step 2: Convert to fraction form
    38,491.92/53,119.92 = 21,726/x
  3. Step 3: Cross multiply
    38,491.92x = 53,119.92 × 21,726
  4. Step 4: Simplify right side
    38,491.92x = 1,154,083,381.92
  5. Step 5: Solve for x
    x = 1,154,083,381.92/38,491.92
  6. Step 6: Final answer
    x = 29,982.48

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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.