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Finding the Fourth Proportional to 2,666.44, 3,999.66 and 2,209.48

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Solution

The fourth proportional to 2,666.44, 3,999.66 and 2,209.48 is: 3,314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.44 : 3,999.66 = 2,209.48 : x
  2. Step 2: Convert to fraction form
    2,666.44/3,999.66 = 2,209.48/x
  3. Step 3: Cross multiply
    2,666.44x = 3,999.66 × 2,209.48
  4. Step 4: Simplify right side
    2,666.44x = 8,837,168.78
  5. Step 5: Solve for x
    x = 8,837,168.78/2,666.44
  6. Step 6: Final answer
    x = 3,314.22

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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.