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Finding the Fourth Proportional to 4,170, 6,257.16 and 2,118

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Solution

The fourth proportional to 4,170, 6,257.16 and 2,118 is: 3,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170 : 6,257.16 = 2,118 : x
  2. Step 2: Convert to fraction form
    4,170/6,257.16 = 2,118/x
  3. Step 3: Cross multiply
    4,170x = 6,257.16 × 2,118
  4. Step 4: Simplify right side
    4,170x = 13,252,664.88
  5. Step 5: Solve for x
    x = 13,252,664.88/4,170
  6. Step 6: Final answer
    x = 3,178.10

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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.