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Finding the Fourth Proportional to 12,282.50, 16,955.04 and 8,309

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Solution

The fourth proportional to 12,282.50, 16,955.04 and 8,309 is: 11,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.50 : 16,955.04 = 8,309 : x
  2. Step 2: Convert to fraction form
    12,282.50/16,955.04 = 8,309/x
  3. Step 3: Cross multiply
    12,282.50x = 16,955.04 × 8,309
  4. Step 4: Simplify right side
    12,282.50x = 140,879,427.36
  5. Step 5: Solve for x
    x = 140,879,427.36/12,282.50
  6. Step 6: Final answer
    x = 11,469.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.