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Finding the Fourth Proportional to 4,205.64, 6,309.90 and 1,609.32

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Solution

The fourth proportional to 4,205.64, 6,309.90 and 1,609.32 is: 2,414.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.64 : 6,309.90 = 1,609.32 : x
  2. Step 2: Convert to fraction form
    4,205.64/6,309.90 = 1,609.32/x
  3. Step 3: Cross multiply
    4,205.64x = 6,309.90 × 1,609.32
  4. Step 4: Simplify right side
    4,205.64x = 10,154,648.27
  5. Step 5: Solve for x
    x = 10,154,648.27/4,205.64
  6. Step 6: Final answer
    x = 2,414.53

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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.