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Finding the Fourth Proportional to 29,195, 40,289.26 and 15,947

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Solution

The fourth proportional to 29,195, 40,289.26 and 15,947 is: 22,006.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,195 : 40,289.26 = 15,947 : x
  2. Step 2: Convert to fraction form
    29,195/40,289.26 = 15,947/x
  3. Step 3: Cross multiply
    29,195x = 40,289.26 × 15,947
  4. Step 4: Simplify right side
    29,195x = 642,492,829.22
  5. Step 5: Solve for x
    x = 642,492,829.22/29,195
  6. Step 6: Final answer
    x = 22,006.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.