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Finding the Fourth Proportional to 38,641, 53,324.58 and 21,874

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Solution

The fourth proportional to 38,641, 53,324.58 and 21,874 is: 30,186.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,641 : 53,324.58 = 21,874 : x
  2. Step 2: Convert to fraction form
    38,641/53,324.58 = 21,874/x
  3. Step 3: Cross multiply
    38,641x = 53,324.58 × 21,874
  4. Step 4: Simplify right side
    38,641x = 1,166,421,862.92
  5. Step 5: Solve for x
    x = 1,166,421,862.92/38,641
  6. Step 6: Final answer
    x = 30,186.12

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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.