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Finding the Fourth Proportional to 9,769, 13,481.22 and 5,577.36

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Solution

The fourth proportional to 9,769, 13,481.22 and 5,577.36 is: 7,696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769 : 13,481.22 = 5,577.36 : x
  2. Step 2: Convert to fraction form
    9,769/13,481.22 = 5,577.36/x
  3. Step 3: Cross multiply
    9,769x = 13,481.22 × 5,577.36
  4. Step 4: Simplify right side
    9,769x = 75,189,617.18
  5. Step 5: Solve for x
    x = 75,189,617.18/9,769
  6. Step 6: Final answer
    x = 7,696.76

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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.