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Finding the Fourth Proportional to 3,213, 4,817.15 and 2,170.41

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Solution

The fourth proportional to 3,213, 4,817.15 and 2,170.41 is: 3,254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213 : 4,817.15 = 2,170.41 : x
  2. Step 2: Convert to fraction form
    3,213/4,817.15 = 2,170.41/x
  3. Step 3: Cross multiply
    3,213x = 4,817.15 × 2,170.41
  4. Step 4: Simplify right side
    3,213x = 10,455,179.68
  5. Step 5: Solve for x
    x = 10,455,179.68/3,213
  6. Step 6: Final answer
    x = 3,254.02

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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.