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Finding the Fourth Proportional to 30,951, 42,714 and 18,204.84

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Solution

The fourth proportional to 30,951, 42,714 and 18,204.84 is: 25,123.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,951 : 42,714 = 18,204.84 : x
  2. Step 2: Convert to fraction form
    30,951/42,714 = 18,204.84/x
  3. Step 3: Cross multiply
    30,951x = 42,714 × 18,204.84
  4. Step 4: Simplify right side
    30,951x = 777,601,535.76
  5. Step 5: Solve for x
    x = 777,601,535.76/30,951
  6. Step 6: Final answer
    x = 25,123.63

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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.