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Finding the Fourth Proportional to 6,540, 9,015.67 and 4,965.36

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Solution

The fourth proportional to 6,540, 9,015.67 and 4,965.36 is: 6,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540 : 9,015.67 = 4,965.36 : x
  2. Step 2: Convert to fraction form
    6,540/9,015.67 = 4,965.36/x
  3. Step 3: Cross multiply
    6,540x = 9,015.67 × 4,965.36
  4. Step 4: Simplify right side
    6,540x = 44,766,047.19
  5. Step 5: Solve for x
    x = 44,766,047.19/6,540
  6. Step 6: Final answer
    x = 6,844.96

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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.