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Finding the Fourth Proportional to 38,923, 53,715.02 and 21,259

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Solution

The fourth proportional to 38,923, 53,715.02 and 21,259 is: 29,338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,923 : 53,715.02 = 21,259 : x
  2. Step 2: Convert to fraction form
    38,923/53,715.02 = 21,259/x
  3. Step 3: Cross multiply
    38,923x = 53,715.02 × 21,259
  4. Step 4: Simplify right side
    38,923x = 1,141,927,610.18
  5. Step 5: Solve for x
    x = 1,141,927,610.18/38,923
  6. Step 6: Final answer
    x = 29,338.12

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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.