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Finding the Fourth Proportional to 30,010.98, 41,398.83 and 20,922

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Solution

The fourth proportional to 30,010.98, 41,398.83 and 20,922 is: 28,860.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,010.98 : 41,398.83 = 20,922 : x
  2. Step 2: Convert to fraction form
    30,010.98/41,398.83 = 20,922/x
  3. Step 3: Cross multiply
    30,010.98x = 41,398.83 × 20,922
  4. Step 4: Simplify right side
    30,010.98x = 866,146,321.26
  5. Step 5: Solve for x
    x = 866,146,321.26/30,010.98
  6. Step 6: Final answer
    x = 28,860.98

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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.