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Finding the Fourth Proportional to 2,004.96, 2,991.96 and 1,786.80

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Solution

The fourth proportional to 2,004.96, 2,991.96 and 1,786.80 is: 2,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.96 : 2,991.96 = 1,786.80 : x
  2. Step 2: Convert to fraction form
    2,004.96/2,991.96 = 1,786.80/x
  3. Step 3: Cross multiply
    2,004.96x = 2,991.96 × 1,786.80
  4. Step 4: Simplify right side
    2,004.96x = 5,346,034.13
  5. Step 5: Solve for x
    x = 5,346,034.13/2,004.96
  6. Step 6: Final answer
    x = 2,666.40

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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.