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Finding the Fourth Proportional to 18,930.97, 28,400.91 and 5,784.40

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Solution

The fourth proportional to 18,930.97, 28,400.91 and 5,784.40 is: 8,677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,930.97 : 28,400.91 = 5,784.40 : x
  2. Step 2: Convert to fraction form
    18,930.97/28,400.91 = 5,784.40/x
  3. Step 3: Cross multiply
    18,930.97x = 28,400.91 × 5,784.40
  4. Step 4: Simplify right side
    18,930.97x = 164,282,223.80
  5. Step 5: Solve for x
    x = 164,282,223.80/18,930.97
  6. Step 6: Final answer
    x = 8,677.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.