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Finding the Fourth Proportional to 19,104.62, 28,659.78 and 5,958

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Solution

The fourth proportional to 19,104.62, 28,659.78 and 5,958 is: 8,937.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,104.62 : 28,659.78 = 5,958 : x
  2. Step 2: Convert to fraction form
    19,104.62/28,659.78 = 5,958/x
  3. Step 3: Cross multiply
    19,104.62x = 28,659.78 × 5,958
  4. Step 4: Simplify right side
    19,104.62x = 170,754,969.24
  5. Step 5: Solve for x
    x = 170,754,969.24/19,104.62
  6. Step 6: Final answer
    x = 8,937.89

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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.