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Finding the Fourth Proportional to 1,965.13, 2,697.68 and 1,946.68

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Solution

The fourth proportional to 1,965.13, 2,697.68 and 1,946.68 is: 2,672.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.13 : 2,697.68 = 1,946.68 : x
  2. Step 2: Convert to fraction form
    1,965.13/2,697.68 = 1,946.68/x
  3. Step 3: Cross multiply
    1,965.13x = 2,697.68 × 1,946.68
  4. Step 4: Simplify right side
    1,965.13x = 5,251,503.22
  5. Step 5: Solve for x
    x = 5,251,503.22/1,965.13
  6. Step 6: Final answer
    x = 2,672.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.