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Finding the Fourth Proportional to 3,269.64, 4,904.46 and 1,420.68

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Solution

The fourth proportional to 3,269.64, 4,904.46 and 1,420.68 is: 2,131.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.64 : 4,904.46 = 1,420.68 : x
  2. Step 2: Convert to fraction form
    3,269.64/4,904.46 = 1,420.68/x
  3. Step 3: Cross multiply
    3,269.64x = 4,904.46 × 1,420.68
  4. Step 4: Simplify right side
    3,269.64x = 6,967,668.23
  5. Step 5: Solve for x
    x = 6,967,668.23/3,269.64
  6. Step 6: Final answer
    x = 2,131.02

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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.