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Finding the Fourth Proportional to 12,819, 17,690.76 and 7,230

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Solution

The fourth proportional to 12,819, 17,690.76 and 7,230 is: 9,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,819 : 17,690.76 = 7,230 : x
  2. Step 2: Convert to fraction form
    12,819/17,690.76 = 7,230/x
  3. Step 3: Cross multiply
    12,819x = 17,690.76 × 7,230
  4. Step 4: Simplify right side
    12,819x = 127,904,194.80
  5. Step 5: Solve for x
    x = 127,904,194.80/12,819
  6. Step 6: Final answer
    x = 9,977.70

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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.