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Finding the Fourth Proportional to 20,827, 31,240.54 and 8,515

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Solution

The fourth proportional to 20,827, 31,240.54 and 8,515 is: 12,772.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,827 : 31,240.54 = 8,515 : x
  2. Step 2: Convert to fraction form
    20,827/31,240.54 = 8,515/x
  3. Step 3: Cross multiply
    20,827x = 31,240.54 × 8,515
  4. Step 4: Simplify right side
    20,827x = 266,013,198.10
  5. Step 5: Solve for x
    x = 266,013,198.10/20,827
  6. Step 6: Final answer
    x = 12,772.52

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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.