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Finding the Fourth Proportional to 2,169.35, 2,992.96 and 1,412.78

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Solution

The fourth proportional to 2,169.35, 2,992.96 and 1,412.78 is: 1,949.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.35 : 2,992.96 = 1,412.78 : x
  2. Step 2: Convert to fraction form
    2,169.35/2,992.96 = 1,412.78/x
  3. Step 3: Cross multiply
    2,169.35x = 2,992.96 × 1,412.78
  4. Step 4: Simplify right side
    2,169.35x = 4,228,394.03
  5. Step 5: Solve for x
    x = 4,228,394.03/2,169.35
  6. Step 6: Final answer
    x = 1,949.16

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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.