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Finding the Fourth Proportional to 3,871, 5,342.70 and 2,215

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Solution

The fourth proportional to 3,871, 5,342.70 and 2,215 is: 3,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871 : 5,342.70 = 2,215 : x
  2. Step 2: Convert to fraction form
    3,871/5,342.70 = 2,215/x
  3. Step 3: Cross multiply
    3,871x = 5,342.70 × 2,215
  4. Step 4: Simplify right side
    3,871x = 11,834,080.50
  5. Step 5: Solve for x
    x = 11,834,080.50/3,871
  6. Step 6: Final answer
    x = 3,057.11

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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.