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Finding the Fourth Proportional to 6,809.15, 9,390.98 and 5,749.37

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Solution

The fourth proportional to 6,809.15, 9,390.98 and 5,749.37 is: 7,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.15 : 9,390.98 = 5,749.37 : x
  2. Step 2: Convert to fraction form
    6,809.15/9,390.98 = 5,749.37/x
  3. Step 3: Cross multiply
    6,809.15x = 9,390.98 × 5,749.37
  4. Step 4: Simplify right side
    6,809.15x = 53,992,142.98
  5. Step 5: Solve for x
    x = 53,992,142.98/6,809.15
  6. Step 6: Final answer
    x = 7,929.36

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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.