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Finding the Fourth Proportional to 15,891.32, 21,933.99 and 9,180.84

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Solution

The fourth proportional to 15,891.32, 21,933.99 and 9,180.84 is: 12,671.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.32 : 21,933.99 = 9,180.84 : x
  2. Step 2: Convert to fraction form
    15,891.32/21,933.99 = 9,180.84/x
  3. Step 3: Cross multiply
    15,891.32x = 21,933.99 × 9,180.84
  4. Step 4: Simplify right side
    15,891.32x = 201,372,452.75
  5. Step 5: Solve for x
    x = 201,372,452.75/15,891.32
  6. Step 6: Final answer
    x = 12,671.85

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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.