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Finding the Fourth Proportional to 12,713, 19,070.82 and 3,479

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Solution

The fourth proportional to 12,713, 19,070.82 and 3,479 is: 5,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713 : 19,070.82 = 3,479 : x
  2. Step 2: Convert to fraction form
    12,713/19,070.82 = 3,479/x
  3. Step 3: Cross multiply
    12,713x = 19,070.82 × 3,479
  4. Step 4: Simplify right side
    12,713x = 66,347,382.78
  5. Step 5: Solve for x
    x = 66,347,382.78/12,713
  6. Step 6: Final answer
    x = 5,218.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.