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Finding the Fourth Proportional to 39,542, 54,567.45 and 21,636.74

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Solution

The fourth proportional to 39,542, 54,567.45 and 21,636.74 is: 29,858.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,542 : 54,567.45 = 21,636.74 : x
  2. Step 2: Convert to fraction form
    39,542/54,567.45 = 21,636.74/x
  3. Step 3: Cross multiply
    39,542x = 54,567.45 × 21,636.74
  4. Step 4: Simplify right side
    39,542x = 1,180,661,728.11
  5. Step 5: Solve for x
    x = 1,180,661,728.11/39,542
  6. Step 6: Final answer
    x = 29,858.42

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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.