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Finding the Fourth Proportional to 6,776.64, 10,165.92 and 2,160

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Solution

The fourth proportional to 6,776.64, 10,165.92 and 2,160 is: 3,240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.64 : 10,165.92 = 2,160 : x
  2. Step 2: Convert to fraction form
    6,776.64/10,165.92 = 2,160/x
  3. Step 3: Cross multiply
    6,776.64x = 10,165.92 × 2,160
  4. Step 4: Simplify right side
    6,776.64x = 21,958,387.20
  5. Step 5: Solve for x
    x = 21,958,387.20/6,776.64
  6. Step 6: Final answer
    x = 3,240.31

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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.