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Finding the Fourth Proportional to 7,268.92, 10,009.38 and 7,105.48

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Solution

The fourth proportional to 7,268.92, 10,009.38 and 7,105.48 is: 9,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268.92 : 10,009.38 = 7,105.48 : x
  2. Step 2: Convert to fraction form
    7,268.92/10,009.38 = 7,105.48/x
  3. Step 3: Cross multiply
    7,268.92x = 10,009.38 × 7,105.48
  4. Step 4: Simplify right side
    7,268.92x = 71,121,449.40
  5. Step 5: Solve for x
    x = 71,121,449.40/7,268.92
  6. Step 6: Final answer
    x = 9,784.32

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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.