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Finding the Fourth Proportional to 11,276.94, 16,893.54 and 8,310

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Solution

The fourth proportional to 11,276.94, 16,893.54 and 8,310 is: 12,448.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,276.94 : 16,893.54 = 8,310 : x
  2. Step 2: Convert to fraction form
    11,276.94/16,893.54 = 8,310/x
  3. Step 3: Cross multiply
    11,276.94x = 16,893.54 × 8,310
  4. Step 4: Simplify right side
    11,276.94x = 140,385,317.40
  5. Step 5: Solve for x
    x = 140,385,317.40/11,276.94
  6. Step 6: Final answer
    x = 12,448.88

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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.