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Finding the Fourth Proportional to 3,420.85, 4,719.10 and 2,161.30

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Solution

The fourth proportional to 3,420.85, 4,719.10 and 2,161.30 is: 2,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.85 : 4,719.10 = 2,161.30 : x
  2. Step 2: Convert to fraction form
    3,420.85/4,719.10 = 2,161.30/x
  3. Step 3: Cross multiply
    3,420.85x = 4,719.10 × 2,161.30
  4. Step 4: Simplify right side
    3,420.85x = 10,199,390.83
  5. Step 5: Solve for x
    x = 10,199,390.83/3,420.85
  6. Step 6: Final answer
    x = 2,981.54

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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.