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Finding the Fourth Proportional to 2,666.94, 3,999.16 and 911.47

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Solution

The fourth proportional to 2,666.94, 3,999.16 and 911.47 is: 1,366.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.94 : 3,999.16 = 911.47 : x
  2. Step 2: Convert to fraction form
    2,666.94/3,999.16 = 911.47/x
  3. Step 3: Cross multiply
    2,666.94x = 3,999.16 × 911.47
  4. Step 4: Simplify right side
    2,666.94x = 3,645,114.37
  5. Step 5: Solve for x
    x = 3,645,114.37/2,666.94
  6. Step 6: Final answer
    x = 1,366.78

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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.