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Finding the Fourth Proportional to 9,189.90, 13,785.30 and 4,815.90

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Solution

The fourth proportional to 9,189.90, 13,785.30 and 4,815.90 is: 7,224.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.90 : 13,785.30 = 4,815.90 : x
  2. Step 2: Convert to fraction form
    9,189.90/13,785.30 = 4,815.90/x
  3. Step 3: Cross multiply
    9,189.90x = 13,785.30 × 4,815.90
  4. Step 4: Simplify right side
    9,189.90x = 66,388,626.27
  5. Step 5: Solve for x
    x = 66,388,626.27/9,189.90
  6. Step 6: Final answer
    x = 7,224.09

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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.