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Finding the Fourth Proportional to 39,345, 54,296.10 and 21,681

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Solution

The fourth proportional to 39,345, 54,296.10 and 21,681 is: 29,919.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,345 : 54,296.10 = 21,681 : x
  2. Step 2: Convert to fraction form
    39,345/54,296.10 = 21,681/x
  3. Step 3: Cross multiply
    39,345x = 54,296.10 × 21,681
  4. Step 4: Simplify right side
    39,345x = 1,177,193,744.10
  5. Step 5: Solve for x
    x = 1,177,193,744.10/39,345
  6. Step 6: Final answer
    x = 29,919.78

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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.