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Finding the Fourth Proportional to 6,809.77, 9,402.73 and 5,489.37

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Solution

The fourth proportional to 6,809.77, 9,402.73 and 5,489.37 is: 7,579.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.77 : 9,402.73 = 5,489.37 : x
  2. Step 2: Convert to fraction form
    6,809.77/9,402.73 = 5,489.37/x
  3. Step 3: Cross multiply
    6,809.77x = 9,402.73 × 5,489.37
  4. Step 4: Simplify right side
    6,809.77x = 51,615,081.13
  5. Step 5: Solve for x
    x = 51,615,081.13/6,809.77
  6. Step 6: Final answer
    x = 7,579.56

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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.