Home / 2,105.12-3,157.68-1,006.16

Finding the Fourth Proportional to 2,105.12, 3,157.68 and 1,006.16

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Solution

The fourth proportional to 2,105.12, 3,157.68 and 1,006.16 is: 1,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.12 : 3,157.68 = 1,006.16 : x
  2. Step 2: Convert to fraction form
    2,105.12/3,157.68 = 1,006.16/x
  3. Step 3: Cross multiply
    2,105.12x = 3,157.68 × 1,006.16
  4. Step 4: Simplify right side
    2,105.12x = 3,177,131.31
  5. Step 5: Solve for x
    x = 3,177,131.31/2,105.12
  6. Step 6: Final answer
    x = 1,509.24

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Similar ratio
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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.