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Finding the Fourth Proportional to 3,256.09, 4,880.62 and 1,609.09

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Solution

The fourth proportional to 3,256.09, 4,880.62 and 1,609.09 is: 2,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.09 : 4,880.62 = 1,609.09 : x
  2. Step 2: Convert to fraction form
    3,256.09/4,880.62 = 1,609.09/x
  3. Step 3: Cross multiply
    3,256.09x = 4,880.62 × 1,609.09
  4. Step 4: Simplify right side
    3,256.09x = 7,853,356.84
  5. Step 5: Solve for x
    x = 7,853,356.84/3,256.09
  6. Step 6: Final answer
    x = 2,411.90

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1.5x scale

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.