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Finding the Fourth Proportional to 30,077, 41,505.66 and 16,648.25

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Solution

The fourth proportional to 30,077, 41,505.66 and 16,648.25 is: 22,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,077 : 41,505.66 = 16,648.25 : x
  2. Step 2: Convert to fraction form
    30,077/41,505.66 = 16,648.25/x
  3. Step 3: Cross multiply
    30,077x = 41,505.66 × 16,648.25
  4. Step 4: Simplify right side
    30,077x = 690,996,604.10
  5. Step 5: Solve for x
    x = 690,996,604.10/30,077
  6. Step 6: Final answer
    x = 22,974.25

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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.