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Finding the Fourth Proportional to 30,021, 41,428.98 and 16,773

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Solution

The fourth proportional to 30,021, 41,428.98 and 16,773 is: 23,146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,021 : 41,428.98 = 16,773 : x
  2. Step 2: Convert to fraction form
    30,021/41,428.98 = 16,773/x
  3. Step 3: Cross multiply
    30,021x = 41,428.98 × 16,773
  4. Step 4: Simplify right side
    30,021x = 694,888,281.54
  5. Step 5: Solve for x
    x = 694,888,281.54/30,021
  6. Step 6: Final answer
    x = 23,146.74

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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.