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Finding the Fourth Proportional to 20,834.94, 31,252.55 and 8,522.94

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Solution

The fourth proportional to 20,834.94, 31,252.55 and 8,522.94 is: 12,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,834.94 : 31,252.55 = 8,522.94 : x
  2. Step 2: Convert to fraction form
    20,834.94/31,252.55 = 8,522.94/x
  3. Step 3: Cross multiply
    20,834.94x = 31,252.55 × 8,522.94
  4. Step 4: Simplify right side
    20,834.94x = 266,363,608.50
  5. Step 5: Solve for x
    x = 266,363,608.50/20,834.94
  6. Step 6: Final answer
    x = 12,784.47

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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.