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Finding the Fourth Proportional to 20,432, 30,648 and 6,581

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Solution

The fourth proportional to 20,432, 30,648 and 6,581 is: 9,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,432 : 30,648 = 6,581 : x
  2. Step 2: Convert to fraction form
    20,432/30,648 = 6,581/x
  3. Step 3: Cross multiply
    20,432x = 30,648 × 6,581
  4. Step 4: Simplify right side
    20,432x = 201,694,488
  5. Step 5: Solve for x
    x = 201,694,488/20,432
  6. Step 6: Final answer
    x = 9,871.50

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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.