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Finding the Fourth Proportional to 38,456.36, 53,069.78 and 21,689.36

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Solution

The fourth proportional to 38,456.36, 53,069.78 and 21,689.36 is: 29,931.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,456.36 : 53,069.78 = 21,689.36 : x
  2. Step 2: Convert to fraction form
    38,456.36/53,069.78 = 21,689.36/x
  3. Step 3: Cross multiply
    38,456.36x = 53,069.78 × 21,689.36
  4. Step 4: Simplify right side
    38,456.36x = 1,151,049,563.54
  5. Step 5: Solve for x
    x = 1,151,049,563.54/38,456.36
  6. Step 6: Final answer
    x = 29,931.32

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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.