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Finding the Fourth Proportional to 30,053, 41,475.06 and 16,805

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Solution

The fourth proportional to 30,053, 41,475.06 and 16,805 is: 23,191.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,053 : 41,475.06 = 16,805 : x
  2. Step 2: Convert to fraction form
    30,053/41,475.06 = 16,805/x
  3. Step 3: Cross multiply
    30,053x = 41,475.06 × 16,805
  4. Step 4: Simplify right side
    30,053x = 696,988,383.30
  5. Step 5: Solve for x
    x = 696,988,383.30/30,053
  6. Step 6: Final answer
    x = 23,191.97

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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.