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Finding the Fourth Proportional to 6,681.80, 10,016.09 and 3,165.63

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Solution

The fourth proportional to 6,681.80, 10,016.09 and 3,165.63 is: 4,745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.80 : 10,016.09 = 3,165.63 : x
  2. Step 2: Convert to fraction form
    6,681.80/10,016.09 = 3,165.63/x
  3. Step 3: Cross multiply
    6,681.80x = 10,016.09 × 3,165.63
  4. Step 4: Simplify right side
    6,681.80x = 31,707,219.16
  5. Step 5: Solve for x
    x = 31,707,219.16/6,681.80
  6. Step 6: Final answer
    x = 4,745.31

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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.