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Finding the Fourth Proportional to 27,221.40, 40,752.84 and 20,232.40

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Solution

The fourth proportional to 27,221.40, 40,752.84 and 20,232.40 is: 30,289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,221.40 : 40,752.84 = 20,232.40 : x
  2. Step 2: Convert to fraction form
    27,221.40/40,752.84 = 20,232.40/x
  3. Step 3: Cross multiply
    27,221.40x = 40,752.84 × 20,232.40
  4. Step 4: Simplify right side
    27,221.40x = 824,527,760.02
  5. Step 5: Solve for x
    x = 824,527,760.02/27,221.40
  6. Step 6: Final answer
    x = 30,289.69

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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.