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Finding the Fourth Proportional to 1,969.91, 2,720.55 and 1,674.66

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Solution

The fourth proportional to 1,969.91, 2,720.55 and 1,674.66 is: 2,312.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.91 : 2,720.55 = 1,674.66 : x
  2. Step 2: Convert to fraction form
    1,969.91/2,720.55 = 1,674.66/x
  3. Step 3: Cross multiply
    1,969.91x = 2,720.55 × 1,674.66
  4. Step 4: Simplify right side
    1,969.91x = 4,555,996.26
  5. Step 5: Solve for x
    x = 4,555,996.26/1,969.91
  6. Step 6: Final answer
    x = 2,312.79

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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.