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Finding the Fourth Proportional to 12,732, 19,105.68 and 5,436

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Solution

The fourth proportional to 12,732, 19,105.68 and 5,436 is: 8,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732 : 19,105.68 = 5,436 : x
  2. Step 2: Convert to fraction form
    12,732/19,105.68 = 5,436/x
  3. Step 3: Cross multiply
    12,732x = 19,105.68 × 5,436
  4. Step 4: Simplify right side
    12,732x = 103,858,476.48
  5. Step 5: Solve for x
    x = 103,858,476.48/12,732
  6. Step 6: Final answer
    x = 8,157.28

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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.