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Finding the Fourth Proportional to 6,998.13, 9,665.73 and 5,678.64

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Solution

The fourth proportional to 6,998.13, 9,665.73 and 5,678.64 is: 7,843.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.13 : 9,665.73 = 5,678.64 : x
  2. Step 2: Convert to fraction form
    6,998.13/9,665.73 = 5,678.64/x
  3. Step 3: Cross multiply
    6,998.13x = 9,665.73 × 5,678.64
  4. Step 4: Simplify right side
    6,998.13x = 54,888,201.01
  5. Step 5: Solve for x
    x = 54,888,201.01/6,998.13
  6. Step 6: Final answer
    x = 7,843.27

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1.5x scale

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.