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Finding the Fourth Proportional to 1,965.01, 2,711.85 and 1,080.85

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Solution

The fourth proportional to 1,965.01, 2,711.85 and 1,080.85 is: 1,491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.01 : 2,711.85 = 1,080.85 : x
  2. Step 2: Convert to fraction form
    1,965.01/2,711.85 = 1,080.85/x
  3. Step 3: Cross multiply
    1,965.01x = 2,711.85 × 1,080.85
  4. Step 4: Simplify right side
    1,965.01x = 2,931,089.51
  5. Step 5: Solve for x
    x = 2,931,089.51/1,965.01
  6. Step 6: Final answer
    x = 1,491.64

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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.