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Finding the Fourth Proportional to 20,769.84, 31,128.84 and 10,384.56

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Solution

The fourth proportional to 20,769.84, 31,128.84 and 10,384.56 is: 15,563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,769.84 : 31,128.84 = 10,384.56 : x
  2. Step 2: Convert to fraction form
    20,769.84/31,128.84 = 10,384.56/x
  3. Step 3: Cross multiply
    20,769.84x = 31,128.84 × 10,384.56
  4. Step 4: Simplify right side
    20,769.84x = 323,259,306.71
  5. Step 5: Solve for x
    x = 323,259,306.71/20,769.84
  6. Step 6: Final answer
    x = 15,563.88

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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.