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Finding the Fourth Proportional to 6,705, 10,057.50 and 2,758.12

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Solution

The fourth proportional to 6,705, 10,057.50 and 2,758.12 is: 4,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705 : 10,057.50 = 2,758.12 : x
  2. Step 2: Convert to fraction form
    6,705/10,057.50 = 2,758.12/x
  3. Step 3: Cross multiply
    6,705x = 10,057.50 × 2,758.12
  4. Step 4: Simplify right side
    6,705x = 27,739,791.90
  5. Step 5: Solve for x
    x = 27,739,791.90/6,705
  6. Step 6: Final answer
    x = 4,137.18

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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.