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Finding the Fourth Proportional to 3,412.72, 4,710.36 and 2,170

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Solution

The fourth proportional to 3,412.72, 4,710.36 and 2,170 is: 2,995.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.72 : 4,710.36 = 2,170 : x
  2. Step 2: Convert to fraction form
    3,412.72/4,710.36 = 2,170/x
  3. Step 3: Cross multiply
    3,412.72x = 4,710.36 × 2,170
  4. Step 4: Simplify right side
    3,412.72x = 10,221,481.20
  5. Step 5: Solve for x
    x = 10,221,481.20/3,412.72
  6. Step 6: Final answer
    x = 2,995.11

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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.