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Finding the Fourth Proportional to 45,586, 68,411.40 and 17,884

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Solution

The fourth proportional to 45,586, 68,411.40 and 17,884 is: 26,838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,586 : 68,411.40 = 17,884 : x
  2. Step 2: Convert to fraction form
    45,586/68,411.40 = 17,884/x
  3. Step 3: Cross multiply
    45,586x = 68,411.40 × 17,884
  4. Step 4: Simplify right side
    45,586x = 1,223,469,477.60
  5. Step 5: Solve for x
    x = 1,223,469,477.60/45,586
  6. Step 6: Final answer
    x = 26,838.71

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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.