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Finding the Fourth Proportional to 39,268, 54,189.84 and 21,604

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Solution

The fourth proportional to 39,268, 54,189.84 and 21,604 is: 29,813.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,268 : 54,189.84 = 21,604 : x
  2. Step 2: Convert to fraction form
    39,268/54,189.84 = 21,604/x
  3. Step 3: Cross multiply
    39,268x = 54,189.84 × 21,604
  4. Step 4: Simplify right side
    39,268x = 1,170,717,303.36
  5. Step 5: Solve for x
    x = 1,170,717,303.36/39,268
  6. Step 6: Final answer
    x = 29,813.52

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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.