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Finding the Fourth Proportional to 20,384.70, 30,571.11 and 10,527

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Solution

The fourth proportional to 20,384.70, 30,571.11 and 10,527 is: 15,787.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,384.70 : 30,571.11 = 10,527 : x
  2. Step 2: Convert to fraction form
    20,384.70/30,571.11 = 10,527/x
  3. Step 3: Cross multiply
    20,384.70x = 30,571.11 × 10,527
  4. Step 4: Simplify right side
    20,384.70x = 321,822,074.97
  5. Step 5: Solve for x
    x = 321,822,074.97/20,384.70
  6. Step 6: Final answer
    x = 15,787.43

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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.