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Finding the Fourth Proportional to 20,560.84, 30,840.72 and 5,769.88

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Solution

The fourth proportional to 20,560.84, 30,840.72 and 5,769.88 is: 8,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,560.84 : 30,840.72 = 5,769.88 : x
  2. Step 2: Convert to fraction form
    20,560.84/30,840.72 = 5,769.88/x
  3. Step 3: Cross multiply
    20,560.84x = 30,840.72 × 5,769.88
  4. Step 4: Simplify right side
    20,560.84x = 177,947,253.51
  5. Step 5: Solve for x
    x = 177,947,253.51/20,560.84
  6. Step 6: Final answer
    x = 8,654.67

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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.