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Finding the Fourth Proportional to 30,382.88, 41,928.80 and 16,772.44

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Solution

The fourth proportional to 30,382.88, 41,928.80 and 16,772.44 is: 23,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382.88 : 41,928.80 = 16,772.44 : x
  2. Step 2: Convert to fraction form
    30,382.88/41,928.80 = 16,772.44/x
  3. Step 3: Cross multiply
    30,382.88x = 41,928.80 × 16,772.44
  4. Step 4: Simplify right side
    30,382.88x = 703,248,282.27
  5. Step 5: Solve for x
    x = 703,248,282.27/30,382.88
  6. Step 6: Final answer
    x = 23,146.20

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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.