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Finding the Fourth Proportional to 1,965.25, 2,712.65 and 1,266.63

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Solution

The fourth proportional to 1,965.25, 2,712.65 and 1,266.63 is: 1,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.25 : 2,712.65 = 1,266.63 : x
  2. Step 2: Convert to fraction form
    1,965.25/2,712.65 = 1,266.63/x
  3. Step 3: Cross multiply
    1,965.25x = 2,712.65 × 1,266.63
  4. Step 4: Simplify right side
    1,965.25x = 3,435,913.47
  5. Step 5: Solve for x
    x = 3,435,913.47/1,965.25
  6. Step 6: Final answer
    x = 1,748.33

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1.5x scale

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.