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Finding the Fourth Proportional to 9,615, 13,268.70 and 5,199

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Solution

The fourth proportional to 9,615, 13,268.70 and 5,199 is: 7,174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615 : 13,268.70 = 5,199 : x
  2. Step 2: Convert to fraction form
    9,615/13,268.70 = 5,199/x
  3. Step 3: Cross multiply
    9,615x = 13,268.70 × 5,199
  4. Step 4: Simplify right side
    9,615x = 68,983,971.30
  5. Step 5: Solve for x
    x = 68,983,971.30/9,615
  6. Step 6: Final answer
    x = 7,174.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.