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Finding the Fourth Proportional to 30,380, 41,926.02 and 17,808.80

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Solution

The fourth proportional to 30,380, 41,926.02 and 17,808.80 is: 24,577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,380 : 41,926.02 = 17,808.80 : x
  2. Step 2: Convert to fraction form
    30,380/41,926.02 = 17,808.80/x
  3. Step 3: Cross multiply
    30,380x = 41,926.02 × 17,808.80
  4. Step 4: Simplify right side
    30,380x = 746,652,104.98
  5. Step 5: Solve for x
    x = 746,652,104.98/30,380
  6. Step 6: Final answer
    x = 24,577.09

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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.