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Finding the Fourth Proportional to 1,813.65, 2,502.12 and 1,183.98

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Solution

The fourth proportional to 1,813.65, 2,502.12 and 1,183.98 is: 1,633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.65 : 2,502.12 = 1,183.98 : x
  2. Step 2: Convert to fraction form
    1,813.65/2,502.12 = 1,183.98/x
  3. Step 3: Cross multiply
    1,813.65x = 2,502.12 × 1,183.98
  4. Step 4: Simplify right side
    1,813.65x = 2,962,455.35
  5. Step 5: Solve for x
    x = 2,962,455.35/1,813.65
  6. Step 6: Final answer
    x = 1,633.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.