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Finding the Fourth Proportional to 12,808, 17,676.66 and 7,219

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Solution

The fourth proportional to 12,808, 17,676.66 and 7,219 is: 9,963.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808 : 17,676.66 = 7,219 : x
  2. Step 2: Convert to fraction form
    12,808/17,676.66 = 7,219/x
  3. Step 3: Cross multiply
    12,808x = 17,676.66 × 7,219
  4. Step 4: Simplify right side
    12,808x = 127,607,808.54
  5. Step 5: Solve for x
    x = 127,607,808.54/12,808
  6. Step 6: Final answer
    x = 9,963.13

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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.