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Finding the Fourth Proportional to 11,148.69, 16,723 and 2,828.69

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Solution

The fourth proportional to 11,148.69, 16,723 and 2,828.69 is: 4,243.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,148.69 : 16,723 = 2,828.69 : x
  2. Step 2: Convert to fraction form
    11,148.69/16,723 = 2,828.69/x
  3. Step 3: Cross multiply
    11,148.69x = 16,723 × 2,828.69
  4. Step 4: Simplify right side
    11,148.69x = 47,304,182.87
  5. Step 5: Solve for x
    x = 47,304,182.87/11,148.69
  6. Step 6: Final answer
    x = 4,243.03

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1.5x scale

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.