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Finding the Fourth Proportional to 12,246, 16,900.92 and 7,278

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Solution

The fourth proportional to 12,246, 16,900.92 and 7,278 is: 10,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,246 : 16,900.92 = 7,278 : x
  2. Step 2: Convert to fraction form
    12,246/16,900.92 = 7,278/x
  3. Step 3: Cross multiply
    12,246x = 16,900.92 × 7,278
  4. Step 4: Simplify right side
    12,246x = 123,004,895.76
  5. Step 5: Solve for x
    x = 123,004,895.76/12,246
  6. Step 6: Final answer
    x = 10,044.50

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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.