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Finding the Fourth Proportional to 26,984, 40,476 and 8,516

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Solution

The fourth proportional to 26,984, 40,476 and 8,516 is: 12,774

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,984 : 40,476 = 8,516 : x
  2. Step 2: Convert to fraction form
    26,984/40,476 = 8,516/x
  3. Step 3: Cross multiply
    26,984x = 40,476 × 8,516
  4. Step 4: Simplify right side
    26,984x = 344,693,616
  5. Step 5: Solve for x
    x = 344,693,616/26,984
  6. Step 6: Final answer
    x = 12,774

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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.