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Finding the Fourth Proportional to 3,219.89, 4,460.72 and 3,143.34

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Solution

The fourth proportional to 3,219.89, 4,460.72 and 3,143.34 is: 4,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.89 : 4,460.72 = 3,143.34 : x
  2. Step 2: Convert to fraction form
    3,219.89/4,460.72 = 3,143.34/x
  3. Step 3: Cross multiply
    3,219.89x = 4,460.72 × 3,143.34
  4. Step 4: Simplify right side
    3,219.89x = 14,021,543.89
  5. Step 5: Solve for x
    x = 14,021,543.89/3,219.89
  6. Step 6: Final answer
    x = 4,354.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.