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Finding the Fourth Proportional to 38,268, 52,814.70 and 21,501

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Solution

The fourth proportional to 38,268, 52,814.70 and 21,501 is: 29,674.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,268 : 52,814.70 = 21,501 : x
  2. Step 2: Convert to fraction form
    38,268/52,814.70 = 21,501/x
  3. Step 3: Cross multiply
    38,268x = 52,814.70 × 21,501
  4. Step 4: Simplify right side
    38,268x = 1,135,568,864.70
  5. Step 5: Solve for x
    x = 1,135,568,864.70/38,268
  6. Step 6: Final answer
    x = 29,674.11

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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.