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Finding the Fourth Proportional to 29,137.81, 43,706.71 and 19,274.78

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Solution

The fourth proportional to 29,137.81, 43,706.71 and 19,274.78 is: 28,912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,137.81 : 43,706.71 = 19,274.78 : x
  2. Step 2: Convert to fraction form
    29,137.81/43,706.71 = 19,274.78/x
  3. Step 3: Cross multiply
    29,137.81x = 43,706.71 × 19,274.78
  4. Step 4: Simplify right side
    29,137.81x = 842,436,904.87
  5. Step 5: Solve for x
    x = 842,436,904.87/29,137.81
  6. Step 6: Final answer
    x = 28,912.16

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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.