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Finding the Fourth Proportional to 20,539.52, 30,809.24 and 8,227.52

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Solution

The fourth proportional to 20,539.52, 30,809.24 and 8,227.52 is: 12,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,539.52 : 30,809.24 = 8,227.52 : x
  2. Step 2: Convert to fraction form
    20,539.52/30,809.24 = 8,227.52/x
  3. Step 3: Cross multiply
    20,539.52x = 30,809.24 × 8,227.52
  4. Step 4: Simplify right side
    20,539.52x = 253,483,638.28
  5. Step 5: Solve for x
    x = 253,483,638.28/20,539.52
  6. Step 6: Final answer
    x = 12,341.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.