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Finding the Fourth Proportional to 30,214.87, 41,691.90 and 16,784.89

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Solution

The fourth proportional to 30,214.87, 41,691.90 and 16,784.89 is: 23,160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214.87 : 41,691.90 = 16,784.89 : x
  2. Step 2: Convert to fraction form
    30,214.87/41,691.90 = 16,784.89/x
  3. Step 3: Cross multiply
    30,214.87x = 41,691.90 × 16,784.89
  4. Step 4: Simplify right side
    30,214.87x = 699,793,955.39
  5. Step 5: Solve for x
    x = 699,793,955.39/30,214.87
  6. Step 6: Final answer
    x = 23,160.58

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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.