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Finding the Fourth Proportional to 20,507.20, 30,775.20 and 8,828.80

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Solution

The fourth proportional to 20,507.20, 30,775.20 and 8,828.80 is: 13,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.20 : 30,775.20 = 8,828.80 : x
  2. Step 2: Convert to fraction form
    20,507.20/30,775.20 = 8,828.80/x
  3. Step 3: Cross multiply
    20,507.20x = 30,775.20 × 8,828.80
  4. Step 4: Simplify right side
    20,507.20x = 271,708,085.76
  5. Step 5: Solve for x
    x = 271,708,085.76/20,507.20
  6. Step 6: Final answer
    x = 13,249.40

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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.