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Finding the Fourth Proportional to 12,711.68, 19,046.42 and 8,995.48

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Solution

The fourth proportional to 12,711.68, 19,046.42 and 8,995.48 is: 13,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.68 : 19,046.42 = 8,995.48 : x
  2. Step 2: Convert to fraction form
    12,711.68/19,046.42 = 8,995.48/x
  3. Step 3: Cross multiply
    12,711.68x = 19,046.42 × 8,995.48
  4. Step 4: Simplify right side
    12,711.68x = 171,331,690.18
  5. Step 5: Solve for x
    x = 171,331,690.18/12,711.68
  6. Step 6: Final answer
    x = 13,478.29

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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.