Home / 2,102.96-3,155.36-1,007.64

Finding the Fourth Proportional to 2,102.96, 3,155.36 and 1,007.64

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Solution

The fourth proportional to 2,102.96, 3,155.36 and 1,007.64 is: 1,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.96 : 3,155.36 = 1,007.64 : x
  2. Step 2: Convert to fraction form
    2,102.96/3,155.36 = 1,007.64/x
  3. Step 3: Cross multiply
    2,102.96x = 3,155.36 × 1,007.64
  4. Step 4: Simplify right side
    2,102.96x = 3,179,461.91
  5. Step 5: Solve for x
    x = 3,179,461.91/2,102.96
  6. Step 6: Final answer
    x = 1,511.90

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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.