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Finding the Fourth Proportional to 9,055, 13,585.38 and 2,899

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Solution

The fourth proportional to 9,055, 13,585.38 and 2,899 is: 4,349.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,055 : 13,585.38 = 2,899 : x
  2. Step 2: Convert to fraction form
    9,055/13,585.38 = 2,899/x
  3. Step 3: Cross multiply
    9,055x = 13,585.38 × 2,899
  4. Step 4: Simplify right side
    9,055x = 39,384,016.62
  5. Step 5: Solve for x
    x = 39,384,016.62/9,055
  6. Step 6: Final answer
    x = 4,349.42

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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.