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Finding the Fourth Proportional to 2,164.62, 2,986.11 and 2,080.79

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Solution

The fourth proportional to 2,164.62, 2,986.11 and 2,080.79 is: 2,870.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.62 : 2,986.11 = 2,080.79 : x
  2. Step 2: Convert to fraction form
    2,164.62/2,986.11 = 2,080.79/x
  3. Step 3: Cross multiply
    2,164.62x = 2,986.11 × 2,080.79
  4. Step 4: Simplify right side
    2,164.62x = 6,213,452.90
  5. Step 5: Solve for x
    x = 6,213,452.90/2,164.62
  6. Step 6: Final answer
    x = 2,870.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.