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Finding the Fourth Proportional to 11,430, 17,144.92 and 3,109.98

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Solution

The fourth proportional to 11,430, 17,144.92 and 3,109.98 is: 4,664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430 : 17,144.92 = 3,109.98 : x
  2. Step 2: Convert to fraction form
    11,430/17,144.92 = 3,109.98/x
  3. Step 3: Cross multiply
    11,430x = 17,144.92 × 3,109.98
  4. Step 4: Simplify right side
    11,430x = 53,320,358.30
  5. Step 5: Solve for x
    x = 53,320,358.30/11,430
  6. Step 6: Final answer
    x = 4,664.95

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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.