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Finding the Fourth Proportional to 1,964.57, 2,707.76 and 1,645.70

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Solution

The fourth proportional to 1,964.57, 2,707.76 and 1,645.70 is: 2,268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.57 : 2,707.76 = 1,645.70 : x
  2. Step 2: Convert to fraction form
    1,964.57/2,707.76 = 1,645.70/x
  3. Step 3: Cross multiply
    1,964.57x = 2,707.76 × 1,645.70
  4. Step 4: Simplify right side
    1,964.57x = 4,456,151.21
  5. Step 5: Solve for x
    x = 4,456,151.21/1,964.57
  6. Step 6: Final answer
    x = 2,268.26

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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.