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Finding the Fourth Proportional to 39,298, 54,231.24 and 21,634

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Solution

The fourth proportional to 39,298, 54,231.24 and 21,634 is: 29,854.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,298 : 54,231.24 = 21,634 : x
  2. Step 2: Convert to fraction form
    39,298/54,231.24 = 21,634/x
  3. Step 3: Cross multiply
    39,298x = 54,231.24 × 21,634
  4. Step 4: Simplify right side
    39,298x = 1,173,238,646.16
  5. Step 5: Solve for x
    x = 1,173,238,646.16/39,298
  6. Step 6: Final answer
    x = 29,854.92

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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.