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Finding the Fourth Proportional to 2,107.66, 3,162.54 and 1,012.94

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Solution

The fourth proportional to 2,107.66, 3,162.54 and 1,012.94 is: 1,519.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.66 : 3,162.54 = 1,012.94 : x
  2. Step 2: Convert to fraction form
    2,107.66/3,162.54 = 1,012.94/x
  3. Step 3: Cross multiply
    2,107.66x = 3,162.54 × 1,012.94
  4. Step 4: Simplify right side
    2,107.66x = 3,203,471.17
  5. Step 5: Solve for x
    x = 3,203,471.17/2,107.66
  6. Step 6: Final answer
    x = 1,519.92

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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.