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Finding the Fourth Proportional to 39,399, 54,370.75 and 21,494.38

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Solution

The fourth proportional to 39,399, 54,370.75 and 21,494.38 is: 29,662.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,399 : 54,370.75 = 21,494.38 : x
  2. Step 2: Convert to fraction form
    39,399/54,370.75 = 21,494.38/x
  3. Step 3: Cross multiply
    39,399x = 54,370.75 × 21,494.38
  4. Step 4: Simplify right side
    39,399x = 1,168,665,561.39
  5. Step 5: Solve for x
    x = 1,168,665,561.39/39,399
  6. Step 6: Final answer
    x = 29,662.32

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1.5x scale

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.