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Finding the Fourth Proportional to 1,965.90, 2,712.94 and 1,069.64

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Solution

The fourth proportional to 1,965.90, 2,712.94 and 1,069.64 is: 1,476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.90 : 2,712.94 = 1,069.64 : x
  2. Step 2: Convert to fraction form
    1,965.90/2,712.94 = 1,069.64/x
  3. Step 3: Cross multiply
    1,965.90x = 2,712.94 × 1,069.64
  4. Step 4: Simplify right side
    1,965.90x = 2,901,869.14
  5. Step 5: Solve for x
    x = 2,901,869.14/1,965.90
  6. Step 6: Final answer
    x = 1,476.10

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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.