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Finding the Fourth Proportional to 20,560.32, 30,839.04 and 5,768.64

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Solution

The fourth proportional to 20,560.32, 30,839.04 and 5,768.64 is: 8,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,560.32 : 30,839.04 = 5,768.64 : x
  2. Step 2: Convert to fraction form
    20,560.32/30,839.04 = 5,768.64/x
  3. Step 3: Cross multiply
    20,560.32x = 30,839.04 × 5,768.64
  4. Step 4: Simplify right side
    20,560.32x = 177,899,319.71
  5. Step 5: Solve for x
    x = 177,899,319.71/20,560.32
  6. Step 6: Final answer
    x = 8,652.56

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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.