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Finding the Fourth Proportional to 6,486.36, 9,729.54 and 2,783.31

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Solution

The fourth proportional to 6,486.36, 9,729.54 and 2,783.31 is: 4,174.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.36 : 9,729.54 = 2,783.31 : x
  2. Step 2: Convert to fraction form
    6,486.36/9,729.54 = 2,783.31/x
  3. Step 3: Cross multiply
    6,486.36x = 9,729.54 × 2,783.31
  4. Step 4: Simplify right side
    6,486.36x = 27,080,325.98
  5. Step 5: Solve for x
    x = 27,080,325.98/6,486.36
  6. Step 6: Final answer
    x = 4,174.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.