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Finding the Fourth Proportional to 2,666.62, 3,998.40 and 911.05

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Solution

The fourth proportional to 2,666.62, 3,998.40 and 911.05 is: 1,366.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.62 : 3,998.40 = 911.05 : x
  2. Step 2: Convert to fraction form
    2,666.62/3,998.40 = 911.05/x
  3. Step 3: Cross multiply
    2,666.62x = 3,998.40 × 911.05
  4. Step 4: Simplify right side
    2,666.62x = 3,642,742.32
  5. Step 5: Solve for x
    x = 3,642,742.32/2,666.62
  6. Step 6: Final answer
    x = 1,366.05

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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.