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Finding the Fourth Proportional to 1,965.86, 2,713.05 and 1,081.82

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Solution

The fourth proportional to 1,965.86, 2,713.05 and 1,081.82 is: 1,493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.86 : 2,713.05 = 1,081.82 : x
  2. Step 2: Convert to fraction form
    1,965.86/2,713.05 = 1,081.82/x
  3. Step 3: Cross multiply
    1,965.86x = 2,713.05 × 1,081.82
  4. Step 4: Simplify right side
    1,965.86x = 2,935,031.75
  5. Step 5: Solve for x
    x = 2,935,031.75/1,965.86
  6. Step 6: Final answer
    x = 1,493.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.