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Finding the Fourth Proportional to 39,238, 54,148.44 and 21,574

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Solution

The fourth proportional to 39,238, 54,148.44 and 21,574 is: 29,772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,238 : 54,148.44 = 21,574 : x
  2. Step 2: Convert to fraction form
    39,238/54,148.44 = 21,574/x
  3. Step 3: Cross multiply
    39,238x = 54,148.44 × 21,574
  4. Step 4: Simplify right side
    39,238x = 1,168,198,444.56
  5. Step 5: Solve for x
    x = 1,168,198,444.56/39,238
  6. Step 6: Final answer
    x = 29,772.12

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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.