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Finding the Fourth Proportional to 12,799, 17,662.89 and 7,210

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Solution

The fourth proportional to 12,799, 17,662.89 and 7,210 is: 9,949.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,799 : 17,662.89 = 7,210 : x
  2. Step 2: Convert to fraction form
    12,799/17,662.89 = 7,210/x
  3. Step 3: Cross multiply
    12,799x = 17,662.89 × 7,210
  4. Step 4: Simplify right side
    12,799x = 127,349,436.90
  5. Step 5: Solve for x
    x = 127,349,436.90/12,799
  6. Step 6: Final answer
    x = 9,949.95

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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.