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Finding the Fourth Proportional to 36,542.88, 50,426.64 and 21,636

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Solution

The fourth proportional to 36,542.88, 50,426.64 and 21,636 is: 29,856.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,542.88 : 50,426.64 = 21,636 : x
  2. Step 2: Convert to fraction form
    36,542.88/50,426.64 = 21,636/x
  3. Step 3: Cross multiply
    36,542.88x = 50,426.64 × 21,636
  4. Step 4: Simplify right side
    36,542.88x = 1,091,030,783.04
  5. Step 5: Solve for x
    x = 1,091,030,783.04/36,542.88
  6. Step 6: Final answer
    x = 29,856.18

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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.