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Finding the Fourth Proportional to 30,936, 42,691.70 and 16,788.84

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Solution

The fourth proportional to 30,936, 42,691.70 and 16,788.84 is: 23,168.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,936 : 42,691.70 = 16,788.84 : x
  2. Step 2: Convert to fraction form
    30,936/42,691.70 = 16,788.84/x
  3. Step 3: Cross multiply
    30,936x = 42,691.70 × 16,788.84
  4. Step 4: Simplify right side
    30,936x = 716,744,120.63
  5. Step 5: Solve for x
    x = 716,744,120.63/30,936
  6. Step 6: Final answer
    x = 23,168.61

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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.