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Finding the Fourth Proportional to 15,195, 20,969.82 and 8,571

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Solution

The fourth proportional to 15,195, 20,969.82 and 8,571 is: 11,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,195 : 20,969.82 = 8,571 : x
  2. Step 2: Convert to fraction form
    15,195/20,969.82 = 8,571/x
  3. Step 3: Cross multiply
    15,195x = 20,969.82 × 8,571
  4. Step 4: Simplify right side
    15,195x = 179,732,327.22
  5. Step 5: Solve for x
    x = 179,732,327.22/15,195
  6. Step 6: Final answer
    x = 11,828.39

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1.5x scale

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.