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Finding the Fourth Proportional to 20,522, 30,784.44 and 8,210

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Solution

The fourth proportional to 20,522, 30,784.44 and 8,210 is: 12,315.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,522 : 30,784.44 = 8,210 : x
  2. Step 2: Convert to fraction form
    20,522/30,784.44 = 8,210/x
  3. Step 3: Cross multiply
    20,522x = 30,784.44 × 8,210
  4. Step 4: Simplify right side
    20,522x = 252,740,252.40
  5. Step 5: Solve for x
    x = 252,740,252.40/20,522
  6. Step 6: Final answer
    x = 12,315.58

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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.