Home / 1,982.85-2,967.26-1,461.62

Finding the Fourth Proportional to 1,982.85, 2,967.26 and 1,461.62

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Solution

The fourth proportional to 1,982.85, 2,967.26 and 1,461.62 is: 2,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.85 : 2,967.26 = 1,461.62 : x
  2. Step 2: Convert to fraction form
    1,982.85/2,967.26 = 1,461.62/x
  3. Step 3: Cross multiply
    1,982.85x = 2,967.26 × 1,461.62
  4. Step 4: Simplify right side
    1,982.85x = 4,336,984.42
  5. Step 5: Solve for x
    x = 4,336,984.42/1,982.85
  6. Step 6: Final answer
    x = 2,187.25

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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.