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Finding the Fourth Proportional to 38,453.38, 53,065.66 and 21,686.38

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Solution

The fourth proportional to 38,453.38, 53,065.66 and 21,686.38 is: 29,927.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,453.38 : 53,065.66 = 21,686.38 : x
  2. Step 2: Convert to fraction form
    38,453.38/53,065.66 = 21,686.38/x
  3. Step 3: Cross multiply
    38,453.38x = 53,065.66 × 21,686.38
  4. Step 4: Simplify right side
    38,453.38x = 1,150,802,067.71
  5. Step 5: Solve for x
    x = 1,150,802,067.71/38,453.38
  6. Step 6: Final answer
    x = 29,927.20

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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.