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Finding the Fourth Proportional to 1,786.59, 2,667.67 and 1,600.29

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Solution

The fourth proportional to 1,786.59, 2,667.67 and 1,600.29 is: 2,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.59 : 2,667.67 = 1,600.29 : x
  2. Step 2: Convert to fraction form
    1,786.59/2,667.67 = 1,600.29/x
  3. Step 3: Cross multiply
    1,786.59x = 2,667.67 × 1,600.29
  4. Step 4: Simplify right side
    1,786.59x = 4,269,041.62
  5. Step 5: Solve for x
    x = 4,269,041.62/1,786.59
  6. Step 6: Final answer
    x = 2,389.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.